How to Find GCF of 920/740, 760/240?

GCF of 920/740, 760/240

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 920/740, 760/240 i.e 40/8880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/740, 760/240.

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 920/740,760/240?

Given fractions are 920/740,760/240

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 920/740,760/240, numerators are 920,760

Denominators are 740,240

The GCF of 920,760 is 40 .

LCM of 740,240 is 8880.

The greatest common factor of 920/740,760/240 = [GCF of 920,760]/[LCM of 740,240]= 40/8880

Therefore, the GCF of 920/740,760/240 is 40/8880.

Greatest Common Factor of 920,760

To find the highest common factor of 920,760, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The HCF of 920,760 is 40.

Lets's calculate GCF of 920,760

Greatest Common Factor (GCF) of 920,760 By Common Division

2	920, 760
2	460, 380
2	230, 190
5	115, 95
	23, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 920,760 By Matching Biggest Common Factor Method

Now, list down the factors of 920

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 760

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 920,760 . The biggest common factor number is the GCF number.
So the greatest common factor 920,760 is 40.

Lets's calculate LCM of 740,240

Lowest Common Multiple of 740,240 using Common Division

2	740, 240
2	370, 120
5	185, 60
	37, 12

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 12 = 8880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/8880

Therefore, the GCF of Fractions 920/740,760/240 is 40/8880

Least Common Multiple of 740,240 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 740,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,240) = 20

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

GCF(740,240) x common factors =20 x 1 = 20

LCM(740,240) = ( 740 × 240 ) / 20

LCM(740,240) = 177600 / 20

LCM(740,240) = 8880

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FAQs on GCF of Fractions of 920/740, 760/240

1. What is the HCF of 920,760?

The HCF of 920,760 is 40

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 920/740, 760/240?

Answer: GCF of Numerators as per given numbers 920/740, 760/240 is

GCF of Numerators i.e. for 920,760 is 40

LCM of denominators i.e. for 740,240 is 8880.

Thus, GCF of Fractions is 40/8880.Finally, GCF of Fractions for 920/740, 760/240 is 40/8880.