How to Find GCF of 956/468, 730/562?

GCF of 956/468, 730/562

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 956/468, 730/562 i.e 2/131508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/468, 730/562.

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 956/468,730/562?

Given fractions are 956/468,730/562

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 956/468,730/562, numerators are 956,730

Denominators are 468,562

The GCF of 956,730 is 2 .

LCM of 468,562 is 131508.

The greatest common factor of 956/468,730/562 = [GCF of 956,730]/[LCM of 468,562]= 2/131508

Therefore, the GCF of 956/468,730/562 is 2/131508.

Greatest Common Factor of 956,730

To find the highest common factor of 956,730, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The HCF of 956,730 is 2.

Lets's calculate GCF of 956,730

Greatest Common Factor (GCF) of 956,730 By Common Division

2	956, 730
	478, 365

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

Greatest Common Factor of 956,730 By Matching Biggest Common Factor Method

Now, list down the factors of 956

1,2,4,239,478,956

Now, list down the factors of 730

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 956,730 . The biggest common factor number is the GCF number.
So the greatest common factor 956,730 is 2.

Lets's calculate LCM of 468,562

Lowest Common Multiple of 468,562 using Common Division

2	468, 562
	234, 281

∴ So the LCM of the given numbers is 2 x 234 x 281 = 131508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131508

Therefore, the GCF of Fractions 956/468,730/562 is 2/131508

Least Common Multiple of 468,562 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 468,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,562) = 2

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

GCF(468,562) x common factors =2 x 1 = 2

LCM(468,562) = ( 468 × 562 ) / 2

LCM(468,562) = 263016 / 2

LCM(468,562) = 131508

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FAQs on GCF of Fractions of 956/468, 730/562

1. What is the HCF of 956,730?

The HCF of 956,730 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 956/468, 730/562?

Answer: GCF of Numerators as per given numbers 956/468, 730/562 is

GCF of Numerators i.e. for 956,730 is 2

LCM of denominators i.e. for 468,562 is 131508.

Thus, GCF of Fractions is 2/131508.Finally, GCF of Fractions for 956/468, 730/562 is 2/131508.