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GCF of 234/430, 547/502

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 234/430, 547/502 i.e 1/107930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 234/430, 547/502.

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 234/430,547/502?

Given fractions are 234/430,547/502

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 234/430,547/502, numerators are 234,547

Denominators are 430,502

The GCF of 234,547 is 1 .

LCM of 430,502 is 107930.

The greatest common factor of 234/430,547/502 = [GCF of 234,547]/[LCM of 430,502]= 1/107930

Therefore, the GCF of 234/430,547/502 is 1/107930.

Greatest Common Factor of 234,547

To find the highest common factor of 234,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The factors of 547 are 1, 547

The HCF of 234,547 is 1.

Lets's calculate GCF of 234,547

Greatest Common Factor (GCF) of 234,547 By Common Division

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

Greatest Common Factor of 234,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,547 By Matching Biggest Common Factor Method

Now, list down the factors of 234

:

1,2,3,6,9,13,18,26,39,78,117,234

Now, list down the factors of 547

:

1,547

Greatest Common Factor

We found the factors 234,547 . The biggest common factor number is the GCF number.
So the greatest common factor 234,547 is 1.

Lets's calculate LCM of 430,502

Lowest Common Multiple of 430,502 using Common Division

2 430, 502
215, 251

∴ So the LCM of the given numbers is 2 x 215 x 251 = 107930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107930

Therefore, the GCF of Fractions 234/430,547/502 is 1/107930

Least Common Multiple of 430,502 with GCF Formula

Least Common Multiple of 430,502 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 430,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,502) = 2

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

GCF(430,502) x common factors =2 x 1 = 2

LCM(430,502) = ( 430 × 502 ) / 2

LCM(430,502) = 215860 / 2

LCM(430,502) = 107930


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FAQs on GCF of Fractions of 234/430, 547/502

1. What is the HCF of 234,547?

The HCF of 234,547 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 234/430, 547/502?

Answer: GCF of Numerators as per given numbers 234/430, 547/502 is

GCF of Numerators i.e. for 234,547 is 1

LCM of denominators i.e. for 430,502 is 107930.

Thus, GCF of Fractions is 1/107930.Finally, GCF of Fractions for 234/430, 547/502 is 1/107930.