How to Find GCF of 6719/352, 5078/4321?

GCF of 6719/352, 5078/4321

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 6719/352, 5078/4321 i.e 1/1520992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6719/352, 5078/4321.

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 6719/352,5078/4321?

Given fractions are 6719/352,5078/4321

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 6719/352,5078/4321, numerators are 6719,5078

Denominators are 352,4321

The GCF of 6719,5078 is 1 .

LCM of 352,4321 is 1520992.

The greatest common factor of 6719/352,5078/4321 = [GCF of 6719,5078]/[LCM of 352,4321]= 1/1520992

Therefore, the GCF of 6719/352,5078/4321 is 1/1520992.

Greatest Common Factor of 6719,5078

To find the highest common factor of 6719,5078, we have to find the factors of both numbers and list the highest common factor.

The factors of 6719 are 1, 6719

The factors of 5078 are 1, 2, 2539, 5078

The HCF of 6719,5078 is 1.

Lets's calculate GCF of 6719,5078

Greatest Common Factor (GCF) of 6719,5078 By Common Division

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

Greatest Common Factor of 6719,5078 By Matching Biggest Common Factor Method

Now, list down the factors of 6719

1,6719

Now, list down the factors of 5078

1,2,2539,5078

Greatest Common Factor

We found the factors 6719,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 6719,5078 is 1.

Lets's calculate LCM of 352,4321

Lowest Common Multiple of 352,4321 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1520992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520992

Therefore, the GCF of Fractions 6719/352,5078/4321 is 1/1520992

Least Common Multiple of 352,4321 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 352,4321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,4321) = 1

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

GCF(352,4321) x common factors =1 x 1 = 1

LCM(352,4321) = ( 352 × 4321 ) / 1

LCM(352,4321) = 1520992 / 1

LCM(352,4321) = 1520992

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FAQs on GCF of Fractions of 6719/352, 5078/4321

1. What is the HCF of 6719,5078?

The HCF of 6719,5078 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 6719/352, 5078/4321?

Answer: GCF of Numerators as per given numbers 6719/352, 5078/4321 is

GCF of Numerators i.e. for 6719,5078 is 1

LCM of denominators i.e. for 352,4321 is 1520992.

Thus, GCF of Fractions is 1/1520992.Finally, GCF of Fractions for 6719/352, 5078/4321 is 1/1520992.