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GCF of 3734/956, 1871/653

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 3734/956, 1871/653 i.e 1/624268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3734/956, 1871/653.

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 3734/956,1871/653?

Given fractions are 3734/956,1871/653

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 3734/956,1871/653, numerators are 3734,1871

Denominators are 956,653

The GCF of 3734,1871 is 1 .

LCM of 956,653 is 624268.

The greatest common factor of 3734/956,1871/653 = [GCF of 3734,1871]/[LCM of 956,653]= 1/624268

Therefore, the GCF of 3734/956,1871/653 is 1/624268.

Greatest Common Factor of 3734,1871

To find the highest common factor of 3734,1871, we have to find the factors of both numbers and list the highest common factor.

The factors of 3734 are 1, 2, 1867, 3734

The factors of 1871 are 1, 1871

The HCF of 3734,1871 is 1.

Lets's calculate GCF of 3734,1871

Greatest Common Factor (GCF) of 3734,1871 By Common Division

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

Greatest Common Factor of 3734,1871 By Matching Biggest Common Factor Method

Greatest Common Factor of 3734,1871 By Matching Biggest Common Factor Method

Now, list down the factors of 3734

:

1,2,1867,3734

Now, list down the factors of 1871

:

1,1871

Greatest Common Factor

We found the factors 3734,1871 . The biggest common factor number is the GCF number.
So the greatest common factor 3734,1871 is 1.

Lets's calculate LCM of 956,653

Lowest Common Multiple of 956,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 624268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624268

Therefore, the GCF of Fractions 3734/956,1871/653 is 1/624268

Least Common Multiple of 956,653 with GCF Formula

Least Common Multiple of 956,653 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 956,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,653) = 1

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

GCF(956,653) x common factors =1 x 1 = 1

LCM(956,653) = ( 956 × 653 ) / 1

LCM(956,653) = 624268 / 1

LCM(956,653) = 624268


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FAQs on GCF of Fractions of 3734/956, 1871/653

1. What is the HCF of 3734,1871?

The HCF of 3734,1871 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 3734/956, 1871/653?

Answer: GCF of Numerators as per given numbers 3734/956, 1871/653 is

GCF of Numerators i.e. for 3734,1871 is 1

LCM of denominators i.e. for 956,653 is 624268.

Thus, GCF of Fractions is 1/624268.Finally, GCF of Fractions for 3734/956, 1871/653 is 1/624268.