How to Find GCF of 913/460, 154/788?

GCF of 913/460, 154/788

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 913/460, 154/788 i.e 11/90620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/460, 154/788.

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 913/460,154/788?

Given fractions are 913/460,154/788

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 913/460,154/788, numerators are 913,154

Denominators are 460,788

The GCF of 913,154 is 11 .

LCM of 460,788 is 90620.

The greatest common factor of 913/460,154/788 = [GCF of 913,154]/[LCM of 460,788]= 11/90620

Therefore, the GCF of 913/460,154/788 is 11/90620.

Greatest Common Factor of 913,154

To find the highest common factor of 913,154, we have to find the factors of both numbers and list the highest common factor.

The factors of 913 are 1, 11, 83, 913

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The HCF of 913,154 is 11.

Lets's calculate GCF of 913,154

Greatest Common Factor (GCF) of 913,154 By Common Division

11	913, 154
	83, 14

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 913,154 By Matching Biggest Common Factor Method

Now, list down the factors of 913

1,11,83,913

Now, list down the factors of 154

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 913,154 . The biggest common factor number is the GCF number.
So the greatest common factor 913,154 is 11.

Lets's calculate LCM of 460,788

Lowest Common Multiple of 460,788 using Common Division

2	460, 788
2	230, 394
	115, 197

∴ So the LCM of the given numbers is 2 x 2 x 115 x 197 = 90620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/90620

Therefore, the GCF of Fractions 913/460,154/788 is 11/90620

Least Common Multiple of 460,788 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 460,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,788) = 4

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

GCF(460,788) x common factors =4 x 1 = 4

LCM(460,788) = ( 460 × 788 ) / 4

LCM(460,788) = 362480 / 4

LCM(460,788) = 90620

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FAQs on GCF of Fractions of 913/460, 154/788

1. What is the HCF of 913,154?

The HCF of 913,154 is 11

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 913/460, 154/788?

Answer: GCF of Numerators as per given numbers 913/460, 154/788 is

GCF of Numerators i.e. for 913,154 is 11

LCM of denominators i.e. for 460,788 is 90620.

Thus, GCF of Fractions is 11/90620.Finally, GCF of Fractions for 913/460, 154/788 is 11/90620.