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GCF of 872/88, 710/4849

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 872/88, 710/4849 i.e 2/426712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/88, 710/4849.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 872/88,710/4849?

Given fractions are 872/88,710/4849

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 872/88,710/4849, numerators are 872,710

Denominators are 88,4849

The GCF of 872,710 is 2 .

LCM of 88,4849 is 426712.

The greatest common factor of 872/88,710/4849 = [GCF of 872,710]/[LCM of 88,4849]= 2/426712

Therefore, the GCF of 872/88,710/4849 is 2/426712.

Greatest Common Factor of 872,710

To find the highest common factor of 872,710, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710

The HCF of 872,710 is 2.

Lets's calculate GCF of 872,710

Greatest Common Factor (GCF) of 872,710 By Common Division

2 872, 710
436, 355

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

Greatest Common Factor of 872,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,710 By Matching Biggest Common Factor Method

Now, list down the factors of 872

:

1,2,4,8,109,218,436,872

Now, list down the factors of 710

:

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 872,710 . The biggest common factor number is the GCF number.
So the greatest common factor 872,710 is 2.

Lets's calculate LCM of 88,4849

Lowest Common Multiple of 88,4849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 426712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/426712

Therefore, the GCF of Fractions 872/88,710/4849 is 2/426712

Least Common Multiple of 88,4849 with GCF Formula

Least Common Multiple of 88,4849 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,4849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,4849) = 1

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

GCF(88,4849) x common factors =1 x 1 = 1

LCM(88,4849) = ( 88 × 4849 ) / 1

LCM(88,4849) = 426712 / 1

LCM(88,4849) = 426712


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 872/88, 710/4849

1. What is the HCF of 872,710?

The HCF of 872,710 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 872/88, 710/4849?

Answer: GCF of Numerators as per given numbers 872/88, 710/4849 is

GCF of Numerators i.e. for 872,710 is 2

LCM of denominators i.e. for 88,4849 is 426712.

Thus, GCF of Fractions is 2/426712.Finally, GCF of Fractions for 872/88, 710/4849 is 2/426712.