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GCF of 6337/508, 3433/5616

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 6337/508, 3433/5616 i.e 1/713232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6337/508, 3433/5616.

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 6337/508,3433/5616?

Given fractions are 6337/508,3433/5616

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 6337/508,3433/5616, numerators are 6337,3433

Denominators are 508,5616

The GCF of 6337,3433 is 1 .

LCM of 508,5616 is 713232.

The greatest common factor of 6337/508,3433/5616 = [GCF of 6337,3433]/[LCM of 508,5616]= 1/713232

Therefore, the GCF of 6337/508,3433/5616 is 1/713232.

Greatest Common Factor of 6337,3433

To find the highest common factor of 6337,3433, we have to find the factors of both numbers and list the highest common factor.

The factors of 6337 are 1, 6337

The factors of 3433 are 1, 3433

The HCF of 6337,3433 is 1.

Lets's calculate GCF of 6337,3433

Greatest Common Factor (GCF) of 6337,3433 By Common Division

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

Greatest Common Factor of 6337,3433 By Matching Biggest Common Factor Method

Greatest Common Factor of 6337,3433 By Matching Biggest Common Factor Method

Now, list down the factors of 6337

:

1,6337

Now, list down the factors of 3433

:

1,3433

Greatest Common Factor

We found the factors 6337,3433 . The biggest common factor number is the GCF number.
So the greatest common factor 6337,3433 is 1.

Lets's calculate LCM of 508,5616

Lowest Common Multiple of 508,5616 using Common Division

2 508, 5616
2 254, 2808
127, 1404

∴ So the LCM of the given numbers is 2 x 2 x 127 x 1404 = 713232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713232

Therefore, the GCF of Fractions 6337/508,3433/5616 is 1/713232

Least Common Multiple of 508,5616 with GCF Formula

Least Common Multiple of 508,5616 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 508,5616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,5616) = 4

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

GCF(508,5616) x common factors =4 x 1 = 4

LCM(508,5616) = ( 508 × 5616 ) / 4

LCM(508,5616) = 2852928 / 4

LCM(508,5616) = 713232


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FAQs on GCF of Fractions of 6337/508, 3433/5616

1. What is the HCF of 6337,3433?

The HCF of 6337,3433 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 6337/508, 3433/5616?

Answer: GCF of Numerators as per given numbers 6337/508, 3433/5616 is

GCF of Numerators i.e. for 6337,3433 is 1

LCM of denominators i.e. for 508,5616 is 713232.

Thus, GCF of Fractions is 1/713232.Finally, GCF of Fractions for 6337/508, 3433/5616 is 1/713232.