How to Find GCF of 5359/608, 7720/8440?

GCF of 5359/608, 7720/8440

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 5359/608, 7720/8440 i.e 1/641440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5359/608, 7720/8440.

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 5359/608,7720/8440?

Given fractions are 5359/608,7720/8440

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 5359/608,7720/8440, numerators are 5359,7720

Denominators are 608,8440

The GCF of 5359,7720 is 1 .

LCM of 608,8440 is 641440.

The greatest common factor of 5359/608,7720/8440 = [GCF of 5359,7720]/[LCM of 608,8440]= 1/641440

Therefore, the GCF of 5359/608,7720/8440 is 1/641440.

Greatest Common Factor of 5359,7720

To find the highest common factor of 5359,7720, we have to find the factors of both numbers and list the highest common factor.

The factors of 5359 are 1, 23, 233, 5359

The factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720

The HCF of 5359,7720 is 1.

Lets's calculate GCF of 5359,7720

Greatest Common Factor (GCF) of 5359,7720 By Common Division

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

Greatest Common Factor of 5359,7720 By Matching Biggest Common Factor Method

Now, list down the factors of 5359

1,23,233,5359

Now, list down the factors of 7720

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Greatest Common Factor

We found the factors 5359,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,7720 is 1.

Lets's calculate LCM of 608,8440

Lowest Common Multiple of 608,8440 using Common Division

2	608, 8440
2	304, 4220
2	152, 2110
	76, 1055

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 1055 = 641440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641440

Therefore, the GCF of Fractions 5359/608,7720/8440 is 1/641440

Least Common Multiple of 608,8440 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 608,8440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,8440) = 8

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

GCF(608,8440) x common factors =8 x 1 = 8

LCM(608,8440) = ( 608 × 8440 ) / 8

LCM(608,8440) = 5131520 / 8

LCM(608,8440) = 641440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5359/608, 7720/8440

1. What is the HCF of 5359,7720?

The HCF of 5359,7720 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 5359/608, 7720/8440?

Answer: GCF of Numerators as per given numbers 5359/608, 7720/8440 is

GCF of Numerators i.e. for 5359,7720 is 1

LCM of denominators i.e. for 608,8440 is 641440.

Thus, GCF of Fractions is 1/641440.Finally, GCF of Fractions for 5359/608, 7720/8440 is 1/641440.