How to Find GCF of 920/85, 280/736?

GCF of 920/85, 280/736

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 920/85, 280/736 i.e 40/62560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/85, 280/736.

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 920/85,280/736?

Given fractions are 920/85,280/736

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 920/85,280/736, numerators are 920,280

Denominators are 85,736

The GCF of 920,280 is 40 .

LCM of 85,736 is 62560.

The greatest common factor of 920/85,280/736 = [GCF of 920,280]/[LCM of 85,736]= 40/62560

Therefore, the GCF of 920/85,280/736 is 40/62560.

Greatest Common Factor of 920,280

To find the highest common factor of 920,280, 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 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 920,280 is 40.

Lets's calculate GCF of 920,280

Greatest Common Factor (GCF) of 920,280 By Common Division

2	920, 280
2	460, 140
2	230, 70
5	115, 35
	23, 7

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

Greatest Common Factor of 920,280 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 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 920,280 . The biggest common factor number is the GCF number.
So the greatest common factor 920,280 is 40.

Lets's calculate LCM of 85,736

Lowest Common Multiple of 85,736 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/62560

Therefore, the GCF of Fractions 920/85,280/736 is 40/62560

Least Common Multiple of 85,736 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 85,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,736) = 1

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

GCF(85,736) x common factors =1 x 1 = 1

LCM(85,736) = ( 85 × 736 ) / 1

LCM(85,736) = 62560 / 1

LCM(85,736) = 62560

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FAQs on GCF of Fractions of 920/85, 280/736

1. What is the HCF of 920,280?

The HCF of 920,280 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 920/85, 280/736?

Answer: GCF of Numerators as per given numbers 920/85, 280/736 is

GCF of Numerators i.e. for 920,280 is 40

LCM of denominators i.e. for 85,736 is 62560.

Thus, GCF of Fractions is 40/62560.Finally, GCF of Fractions for 920/85, 280/736 is 40/62560.