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 307/947, 221/424

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 307/947, 221/424 i.e 1/401528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/947, 221/424.

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 307/947,221/424?

Given fractions are 307/947,221/424

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 307/947,221/424, numerators are 307,221

Denominators are 947,424

The GCF of 307,221 is 1 .

LCM of 947,424 is 401528.

The greatest common factor of 307/947,221/424 = [GCF of 307,221]/[LCM of 947,424]= 1/401528

Therefore, the GCF of 307/947,221/424 is 1/401528.

Greatest Common Factor of 307,221

To find the highest common factor of 307,221, we have to find the factors of both numbers and list the highest common factor.

The factors of 307 are 1, 307

The factors of 221 are 1, 13, 17, 221

The HCF of 307,221 is 1.

Lets's calculate GCF of 307,221

Greatest Common Factor (GCF) of 307,221 By Common Division

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

Greatest Common Factor of 307,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,221 By Matching Biggest Common Factor Method

Now, list down the factors of 307

:

1,307

Now, list down the factors of 221

:

1,13,17,221

Greatest Common Factor

We found the factors 307,221 . The biggest common factor number is the GCF number.
So the greatest common factor 307,221 is 1.

Lets's calculate LCM of 947,424

Lowest Common Multiple of 947,424 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401528

Therefore, the GCF of Fractions 307/947,221/424 is 1/401528

Least Common Multiple of 947,424 with GCF Formula

Least Common Multiple of 947,424 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 947,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,424) = 1

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

GCF(947,424) x common factors =1 x 1 = 1

LCM(947,424) = ( 947 × 424 ) / 1

LCM(947,424) = 401528 / 1

LCM(947,424) = 401528


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 307/947, 221/424

1. What is the HCF of 307,221?

The HCF of 307,221 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 307/947, 221/424?

Answer: GCF of Numerators as per given numbers 307/947, 221/424 is

GCF of Numerators i.e. for 307,221 is 1

LCM of denominators i.e. for 947,424 is 401528.

Thus, GCF of Fractions is 1/401528.Finally, GCF of Fractions for 307/947, 221/424 is 1/401528.