LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 431/880, 558/196

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 431/880, 558/196 i.e 1/43120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/880, 558/196.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 431/880,558/196?

Given fractions are 431/880,558/196

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 431/880,558/196, numerators are 431,558

Denominators are 880,196

The GCF of 431,558 is 1 .

LCM of 880,196 is 43120.

The greatest common factor of 431/880,558/196 = [GCF of 431,558]/[LCM of 880,196]= 1/43120

Therefore, the GCF of 431/880,558/196 is 1/43120.

Greatest Common Factor of 431,558

To find the highest common factor of 431,558, we have to find the factors of both numbers and list the highest common factor.

The factors of 431 are 1, 431

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

The HCF of 431,558 is 1.

Lets's calculate GCF of 431,558

Greatest Common Factor (GCF) of 431,558 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 431,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,558 By Matching Biggest Common Factor Method

Now, list down the factors of 431

:

1,431

Now, list down the factors of 558

:

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 431,558 . The biggest common factor number is the GCF number.
So the greatest common factor 431,558 is 1.

Lets's calculate LCM of 880,196

Lowest Common Multiple of 880,196 using Common Division

2 880, 196
2 440, 98
220, 49

∴ So the LCM of the given numbers is 2 x 2 x 220 x 49 = 43120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43120

Therefore, the GCF of Fractions 431/880,558/196 is 1/43120

Least Common Multiple of 880,196 with GCF Formula

Least Common Multiple of 880,196 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 880,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,196) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(880,196) x common factors =4 x 1 = 4

LCM(880,196) = ( 880 × 196 ) / 4

LCM(880,196) = 172480 / 4

LCM(880,196) = 43120


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 431/880, 558/196

1. What is the HCF of 431,558?

The HCF of 431,558 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 431/880, 558/196?

Answer: GCF of Numerators as per given numbers 431/880, 558/196 is

GCF of Numerators i.e. for 431,558 is 1

LCM of denominators i.e. for 880,196 is 43120.

Thus, GCF of Fractions is 1/43120.Finally, GCF of Fractions for 431/880, 558/196 is 1/43120.