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GCF of 5713/525, 6347/254

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 5713/525, 6347/254 i.e 1/133350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5713/525, 6347/254.

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 5713/525,6347/254?

Given fractions are 5713/525,6347/254

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 5713/525,6347/254, numerators are 5713,6347

Denominators are 525,254

The GCF of 5713,6347 is 1 .

LCM of 525,254 is 133350.

The greatest common factor of 5713/525,6347/254 = [GCF of 5713,6347]/[LCM of 525,254]= 1/133350

Therefore, the GCF of 5713/525,6347/254 is 1/133350.

Greatest Common Factor of 5713,6347

To find the highest common factor of 5713,6347, we have to find the factors of both numbers and list the highest common factor.

The factors of 5713 are 1, 29, 197, 5713

The factors of 6347 are 1, 11, 577, 6347

The HCF of 5713,6347 is 1.

Lets's calculate GCF of 5713,6347

Greatest Common Factor (GCF) of 5713,6347 By Common Division

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

Greatest Common Factor of 5713,6347 By Matching Biggest Common Factor Method

Greatest Common Factor of 5713,6347 By Matching Biggest Common Factor Method

Now, list down the factors of 5713

:

1,29,197,5713

Now, list down the factors of 6347

:

1,11,577,6347

Greatest Common Factor

We found the factors 5713,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 5713,6347 is 1.

Lets's calculate LCM of 525,254

Lowest Common Multiple of 525,254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 133350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133350

Therefore, the GCF of Fractions 5713/525,6347/254 is 1/133350

Least Common Multiple of 525,254 with GCF Formula

Least Common Multiple of 525,254 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 525,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,254) = 1

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

GCF(525,254) x common factors =1 x 1 = 1

LCM(525,254) = ( 525 × 254 ) / 1

LCM(525,254) = 133350 / 1

LCM(525,254) = 133350


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FAQs on GCF of Fractions of 5713/525, 6347/254

1. What is the HCF of 5713,6347?

The HCF of 5713,6347 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 5713/525, 6347/254?

Answer: GCF of Numerators as per given numbers 5713/525, 6347/254 is

GCF of Numerators i.e. for 5713,6347 is 1

LCM of denominators i.e. for 525,254 is 133350.

Thus, GCF of Fractions is 1/133350.Finally, GCF of Fractions for 5713/525, 6347/254 is 1/133350.