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GCF of 874/75, 958/974

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 874/75, 958/974 i.e 2/73050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/75, 958/974.

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 874/75,958/974?

Given fractions are 874/75,958/974

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 874/75,958/974, numerators are 874,958

Denominators are 75,974

The GCF of 874,958 is 2 .

LCM of 75,974 is 73050.

The greatest common factor of 874/75,958/974 = [GCF of 874,958]/[LCM of 75,974]= 2/73050

Therefore, the GCF of 874/75,958/974 is 2/73050.

Greatest Common Factor of 874,958

To find the highest common factor of 874,958, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 958 are 1, 2, 479, 958

The HCF of 874,958 is 2.

Lets's calculate GCF of 874,958

Greatest Common Factor (GCF) of 874,958 By Common Division

2 874, 958
437, 479

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 874,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,958 By Matching Biggest Common Factor Method

Now, list down the factors of 874

:

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

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 874,958 . The biggest common factor number is the GCF number.
So the greatest common factor 874,958 is 2.

Lets's calculate LCM of 75,974

Lowest Common Multiple of 75,974 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73050

Therefore, the GCF of Fractions 874/75,958/974 is 2/73050

Least Common Multiple of 75,974 with GCF Formula

Least Common Multiple of 75,974 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 75,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,974) = 1

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

GCF(75,974) x common factors =1 x 1 = 1

LCM(75,974) = ( 75 × 974 ) / 1

LCM(75,974) = 73050 / 1

LCM(75,974) = 73050


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FAQs on GCF of Fractions of 874/75, 958/974

1. What is the HCF of 874,958?

The HCF of 874,958 is 2

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 874/75, 958/974?

Answer: GCF of Numerators as per given numbers 874/75, 958/974 is

GCF of Numerators i.e. for 874,958 is 2

LCM of denominators i.e. for 75,974 is 73050.

Thus, GCF of Fractions is 2/73050.Finally, GCF of Fractions for 874/75, 958/974 is 2/73050.