How to Find GCF of 920/710, 728/470?

GCF of 920/710, 728/470

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 920/710, 728/470 i.e 8/33370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/710, 728/470.

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 920/710,728/470?

Given fractions are 920/710,728/470

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 920/710,728/470, numerators are 920,728

Denominators are 710,470

The GCF of 920,728 is 8 .

LCM of 710,470 is 33370.

The greatest common factor of 920/710,728/470 = [GCF of 920,728]/[LCM of 710,470]= 8/33370

Therefore, the GCF of 920/710,728/470 is 8/33370.

Greatest Common Factor of 920,728

To find the highest common factor of 920,728, 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 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 920,728 is 8.

Lets's calculate GCF of 920,728

Greatest Common Factor (GCF) of 920,728 By Common Division

2	920, 728
2	460, 364
2	230, 182
	115, 91

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 920,728 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 728

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 920,728 . The biggest common factor number is the GCF number.
So the greatest common factor 920,728 is 8.

Lets's calculate LCM of 710,470

Lowest Common Multiple of 710,470 using Common Division

2	710, 470
5	355, 235
	71, 47

∴ So the LCM of the given numbers is 2 x 5 x 71 x 47 = 33370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/33370

Therefore, the GCF of Fractions 920/710,728/470 is 8/33370

Least Common Multiple of 710,470 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 710,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,470) = 10

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

GCF(710,470) x common factors =10 x 1 = 10

LCM(710,470) = ( 710 × 470 ) / 10

LCM(710,470) = 333700 / 10

LCM(710,470) = 33370

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FAQs on GCF of Fractions of 920/710, 728/470

1. What is the HCF of 920,728?

The HCF of 920,728 is 8

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 920/710, 728/470?

Answer: GCF of Numerators as per given numbers 920/710, 728/470 is

GCF of Numerators i.e. for 920,728 is 8

LCM of denominators i.e. for 710,470 is 33370.

Thus, GCF of Fractions is 8/33370.Finally, GCF of Fractions for 920/710, 728/470 is 8/33370.