How to Find GCF of 5072/696, 5519/9086?

GCF of 5072/696, 5519/9086

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 5072/696, 5519/9086 i.e 1/3161928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5072/696, 5519/9086.

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 5072/696,5519/9086?

Given fractions are 5072/696,5519/9086

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 5072/696,5519/9086, numerators are 5072,5519

Denominators are 696,9086

The GCF of 5072,5519 is 1 .

LCM of 696,9086 is 3161928.

The greatest common factor of 5072/696,5519/9086 = [GCF of 5072,5519]/[LCM of 696,9086]= 1/3161928

Therefore, the GCF of 5072/696,5519/9086 is 1/3161928.

Greatest Common Factor of 5072,5519

To find the highest common factor of 5072,5519, we have to find the factors of both numbers and list the highest common factor.

The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

The factors of 5519 are 1, 5519

The HCF of 5072,5519 is 1.

Lets's calculate GCF of 5072,5519

Greatest Common Factor (GCF) of 5072,5519 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5072,5519 By Matching Biggest Common Factor Method

Now, list down the factors of 5072

1,2,4,8,16,317,634,1268,2536,5072

Now, list down the factors of 5519

1,5519

Greatest Common Factor

We found the factors 5072,5519 . The biggest common factor number is the GCF number.
So the greatest common factor 5072,5519 is 1.

Lets's calculate LCM of 696,9086

Lowest Common Multiple of 696,9086 using Common Division

2	696, 9086
	348, 4543

∴ So the LCM of the given numbers is 2 x 348 x 4543 = 3161928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3161928

Therefore, the GCF of Fractions 5072/696,5519/9086 is 1/3161928

Least Common Multiple of 696,9086 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 696,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,9086) = 2

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

GCF(696,9086) x common factors =2 x 1 = 2

LCM(696,9086) = ( 696 × 9086 ) / 2

LCM(696,9086) = 6323856 / 2

LCM(696,9086) = 3161928

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5072/696, 5519/9086

1. What is the HCF of 5072,5519?

The HCF of 5072,5519 is 1

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 5072/696, 5519/9086?

Answer: GCF of Numerators as per given numbers 5072/696, 5519/9086 is

GCF of Numerators i.e. for 5072,5519 is 1

LCM of denominators i.e. for 696,9086 is 3161928.

Thus, GCF of Fractions is 1/3161928.Finally, GCF of Fractions for 5072/696, 5519/9086 is 1/3161928.