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GCF of 425/31, 698/196

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 425/31, 698/196 i.e 1/6076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/31, 698/196.

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 425/31,698/196?

Given fractions are 425/31,698/196

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 425/31,698/196, numerators are 425,698

Denominators are 31,196

The GCF of 425,698 is 1 .

LCM of 31,196 is 6076.

The greatest common factor of 425/31,698/196 = [GCF of 425,698]/[LCM of 31,196]= 1/6076

Therefore, the GCF of 425/31,698/196 is 1/6076.

Greatest Common Factor of 425,698

To find the highest common factor of 425,698, we have to find the factors of both numbers and list the highest common factor.

The factors of 425 are 1, 5, 17, 25, 85, 425

The factors of 698 are 1, 2, 349, 698

The HCF of 425,698 is 1.

Lets's calculate GCF of 425,698

Greatest Common Factor (GCF) of 425,698 By Common Division

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

Greatest Common Factor of 425,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,698 By Matching Biggest Common Factor Method

Now, list down the factors of 425

:

1,5,17,25,85,425

Now, list down the factors of 698

:

1,2,349,698

Greatest Common Factor

We found the factors 425,698 . The biggest common factor number is the GCF number.
So the greatest common factor 425,698 is 1.

Lets's calculate LCM of 31,196

Lowest Common Multiple of 31,196 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6076

Therefore, the GCF of Fractions 425/31,698/196 is 1/6076

Least Common Multiple of 31,196 with GCF Formula

Least Common Multiple of 31,196 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 31,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,196) = 1

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

GCF(31,196) x common factors =1 x 1 = 1

LCM(31,196) = ( 31 × 196 ) / 1

LCM(31,196) = 6076 / 1

LCM(31,196) = 6076


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FAQs on GCF of Fractions of 425/31, 698/196

1. What is the HCF of 425,698?

The HCF of 425,698 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 425/31, 698/196?

Answer: GCF of Numerators as per given numbers 425/31, 698/196 is

GCF of Numerators i.e. for 425,698 is 1

LCM of denominators i.e. for 31,196 is 6076.

Thus, GCF of Fractions is 1/6076.Finally, GCF of Fractions for 425/31, 698/196 is 1/6076.