How to Find GCF of 6257/936, 3530/9637?

GCF of 6257/936, 3530/9637

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 6257/936, 3530/9637 i.e 1/9020232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6257/936, 3530/9637.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6257/936,3530/9637?

Given fractions are 6257/936,3530/9637

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 6257/936,3530/9637, numerators are 6257,3530

Denominators are 936,9637

The GCF of 6257,3530 is 1 .

LCM of 936,9637 is 9020232.

The greatest common factor of 6257/936,3530/9637 = [GCF of 6257,3530]/[LCM of 936,9637]= 1/9020232

Therefore, the GCF of 6257/936,3530/9637 is 1/9020232.

Greatest Common Factor of 6257,3530

To find the highest common factor of 6257,3530, we have to find the factors of both numbers and list the highest common factor.

The factors of 6257 are 1, 6257

The factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530

The HCF of 6257,3530 is 1.

Lets's calculate GCF of 6257,3530

Greatest Common Factor (GCF) of 6257,3530 By Common Division

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

Greatest Common Factor of 6257,3530 By Matching Biggest Common Factor Method

Now, list down the factors of 6257

1,6257

Now, list down the factors of 3530

1,2,5,10,353,706,1765,3530

Greatest Common Factor

We found the factors 6257,3530 . The biggest common factor number is the GCF number.
So the greatest common factor 6257,3530 is 1.

Lets's calculate LCM of 936,9637

Lowest Common Multiple of 936,9637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9020232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9020232

Therefore, the GCF of Fractions 6257/936,3530/9637 is 1/9020232

Least Common Multiple of 936,9637 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 936,9637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,9637) = 1

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

GCF(936,9637) x common factors =1 x 1 = 1

LCM(936,9637) = ( 936 × 9637 ) / 1

LCM(936,9637) = 9020232 / 1

LCM(936,9637) = 9020232

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FAQs on GCF of Fractions of 6257/936, 3530/9637

1. What is the HCF of 6257,3530?

The HCF of 6257,3530 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 6257/936, 3530/9637?

Answer: GCF of Numerators as per given numbers 6257/936, 3530/9637 is

GCF of Numerators i.e. for 6257,3530 is 1

LCM of denominators i.e. for 936,9637 is 9020232.

Thus, GCF of Fractions is 1/9020232.Finally, GCF of Fractions for 6257/936, 3530/9637 is 1/9020232.