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GCF of 967/40, 874/949

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 967/40, 874/949 i.e 1/37960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/40, 874/949.

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 967/40,874/949?

Given fractions are 967/40,874/949

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 967/40,874/949, numerators are 967,874

Denominators are 40,949

The GCF of 967,874 is 1 .

LCM of 40,949 is 37960.

The greatest common factor of 967/40,874/949 = [GCF of 967,874]/[LCM of 40,949]= 1/37960

Therefore, the GCF of 967/40,874/949 is 1/37960.

Greatest Common Factor of 967,874

To find the highest common factor of 967,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 967,874 is 1.

Lets's calculate GCF of 967,874

Greatest Common Factor (GCF) of 967,874 By Common Division

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

Greatest Common Factor of 967,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,874 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 967,874 . The biggest common factor number is the GCF number.
So the greatest common factor 967,874 is 1.

Lets's calculate LCM of 40,949

Lowest Common Multiple of 40,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37960

Therefore, the GCF of Fractions 967/40,874/949 is 1/37960

Least Common Multiple of 40,949 with GCF Formula

Least Common Multiple of 40,949 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 40,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,949) = 1

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

GCF(40,949) x common factors =1 x 1 = 1

LCM(40,949) = ( 40 × 949 ) / 1

LCM(40,949) = 37960 / 1

LCM(40,949) = 37960


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FAQs on GCF of Fractions of 967/40, 874/949

1. What is the HCF of 967,874?

The HCF of 967,874 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 967/40, 874/949?

Answer: GCF of Numerators as per given numbers 967/40, 874/949 is

GCF of Numerators i.e. for 967,874 is 1

LCM of denominators i.e. for 40,949 is 37960.

Thus, GCF of Fractions is 1/37960.Finally, GCF of Fractions for 967/40, 874/949 is 1/37960.