How to Find GCF of 958/42, 521/140?

GCF of 958/42, 521/140

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 958/42, 521/140 i.e 1/420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/42, 521/140.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 958/42,521/140?

Given fractions are 958/42,521/140

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 958/42,521/140, numerators are 958,521

Denominators are 42,140

The GCF of 958,521 is 1 .

LCM of 42,140 is 420.

The greatest common factor of 958/42,521/140 = [GCF of 958,521]/[LCM of 42,140]= 1/420

Therefore, the GCF of 958/42,521/140 is 1/420.

Greatest Common Factor of 958,521

To find the highest common factor of 958,521, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 521 are 1, 521

The HCF of 958,521 is 1.

Lets's calculate GCF of 958,521

Greatest Common Factor (GCF) of 958,521 By Common Division

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

Greatest Common Factor of 958,521 By Matching Biggest Common Factor Method

Now, list down the factors of 958

1,2,479,958

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 958,521 . The biggest common factor number is the GCF number.
So the greatest common factor 958,521 is 1.

Lets's calculate LCM of 42,140

Lowest Common Multiple of 42,140 using Common Division

2	42, 140
7	21, 70
	3, 10

∴ So the LCM of the given numbers is 2 x 7 x 3 x 10 = 420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420

Therefore, the GCF of Fractions 958/42,521/140 is 1/420

Least Common Multiple of 42,140 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,140) = 14

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

GCF(42,140) x common factors =14 x 1 = 14

LCM(42,140) = ( 42 × 140 ) / 14

LCM(42,140) = 5880 / 14

LCM(42,140) = 420

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FAQs on GCF of Fractions of 958/42, 521/140

1. What is the HCF of 958,521?

The HCF of 958,521 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 958/42, 521/140?

Answer: GCF of Numerators as per given numbers 958/42, 521/140 is

GCF of Numerators i.e. for 958,521 is 1

LCM of denominators i.e. for 42,140 is 420.

Thus, GCF of Fractions is 1/420.Finally, GCF of Fractions for 958/42, 521/140 is 1/420.