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GCF of 3537/476, 1235/6926

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 3537/476, 1235/6926 i.e 1/1648388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3537/476, 1235/6926.

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 3537/476,1235/6926?

Given fractions are 3537/476,1235/6926

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 3537/476,1235/6926, numerators are 3537,1235

Denominators are 476,6926

The GCF of 3537,1235 is 1 .

LCM of 476,6926 is 1648388.

The greatest common factor of 3537/476,1235/6926 = [GCF of 3537,1235]/[LCM of 476,6926]= 1/1648388

Therefore, the GCF of 3537/476,1235/6926 is 1/1648388.

Greatest Common Factor of 3537,1235

To find the highest common factor of 3537,1235, we have to find the factors of both numbers and list the highest common factor.

The factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537

The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235

The HCF of 3537,1235 is 1.

Lets's calculate GCF of 3537,1235

Greatest Common Factor (GCF) of 3537,1235 By Common Division

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

Greatest Common Factor of 3537,1235 By Matching Biggest Common Factor Method

Greatest Common Factor of 3537,1235 By Matching Biggest Common Factor Method

Now, list down the factors of 3537

:

1,3,9,27,131,393,1179,3537

Now, list down the factors of 1235

:

1,5,13,19,65,95,247,1235

Greatest Common Factor

We found the factors 3537,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 3537,1235 is 1.


Lets's calculate LCM of 476,6926

Lowest Common Multiple of 476,6926 using Common Division

2 476, 6926
238, 3463

∴ So the LCM of the given numbers is 2 x 238 x 3463 = 1648388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1648388

Therefore, the GCF of Fractions 3537/476,1235/6926 is 1/1648388

Least Common Multiple of 476,6926 with GCF Formula

Least Common Multiple of 476,6926 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 476,6926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,6926) = 2

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

GCF(476,6926) x common factors =2 x 1 = 2

LCM(476,6926) = ( 476 × 6926 ) / 2

LCM(476,6926) = 3296776 / 2

LCM(476,6926) = 1648388


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3537/476, 1235/6926

1. What is the HCF of 3537,1235?

The HCF of 3537,1235 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 3537/476, 1235/6926?

Answer: GCF of Numerators as per given numbers 3537/476, 1235/6926 is

GCF of Numerators i.e. for 3537,1235 is 1

LCM of denominators i.e. for 476,6926 is 1648388.

Thus, GCF of Fractions is 1/1648388.Finally, GCF of Fractions for 3537/476, 1235/6926 is 1/1648388.