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GCF of 2357/668, 3837/941

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 2357/668, 3837/941 i.e 1/628588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2357/668, 3837/941.

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 2357/668,3837/941?

Given fractions are 2357/668,3837/941

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 2357/668,3837/941, numerators are 2357,3837

Denominators are 668,941

The GCF of 2357,3837 is 1 .

LCM of 668,941 is 628588.

The greatest common factor of 2357/668,3837/941 = [GCF of 2357,3837]/[LCM of 668,941]= 1/628588

Therefore, the GCF of 2357/668,3837/941 is 1/628588.

Greatest Common Factor of 2357,3837

To find the highest common factor of 2357,3837, we have to find the factors of both numbers and list the highest common factor.

The factors of 2357 are 1, 2357

The factors of 3837 are 1, 3, 1279, 3837

The HCF of 2357,3837 is 1.

Lets's calculate GCF of 2357,3837

Greatest Common Factor (GCF) of 2357,3837 By Common Division

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

Greatest Common Factor of 2357,3837 By Matching Biggest Common Factor Method

Greatest Common Factor of 2357,3837 By Matching Biggest Common Factor Method

Now, list down the factors of 2357

:

1,2357

Now, list down the factors of 3837

:

1,3,1279,3837

Greatest Common Factor

We found the factors 2357,3837 . The biggest common factor number is the GCF number.
So the greatest common factor 2357,3837 is 1.

Lets's calculate LCM of 668,941

Lowest Common Multiple of 668,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628588

Therefore, the GCF of Fractions 2357/668,3837/941 is 1/628588

Least Common Multiple of 668,941 with GCF Formula

Least Common Multiple of 668,941 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 668,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,941) = 1

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

GCF(668,941) x common factors =1 x 1 = 1

LCM(668,941) = ( 668 × 941 ) / 1

LCM(668,941) = 628588 / 1

LCM(668,941) = 628588


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FAQs on GCF of Fractions of 2357/668, 3837/941

1. What is the HCF of 2357,3837?

The HCF of 2357,3837 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 2357/668, 3837/941?

Answer: GCF of Numerators as per given numbers 2357/668, 3837/941 is

GCF of Numerators i.e. for 2357,3837 is 1

LCM of denominators i.e. for 668,941 is 628588.

Thus, GCF of Fractions is 1/628588.Finally, GCF of Fractions for 2357/668, 3837/941 is 1/628588.