How to Find GCF of 6919/861, 9534/6350?

GCF of 6919/861, 9534/6350

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 6919/861, 9534/6350 i.e 1/5467350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6919/861, 9534/6350.

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 6919/861,9534/6350?

Given fractions are 6919/861,9534/6350

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 6919/861,9534/6350, numerators are 6919,9534

Denominators are 861,6350

The GCF of 6919,9534 is 1 .

LCM of 861,6350 is 5467350.

The greatest common factor of 6919/861,9534/6350 = [GCF of 6919,9534]/[LCM of 861,6350]= 1/5467350

Therefore, the GCF of 6919/861,9534/6350 is 1/5467350.

Greatest Common Factor of 6919,9534

To find the highest common factor of 6919,9534, we have to find the factors of both numbers and list the highest common factor.

The factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919

The factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534

The HCF of 6919,9534 is 1.

Lets's calculate GCF of 6919,9534

Greatest Common Factor (GCF) of 6919,9534 By Common Division

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

Greatest Common Factor of 6919,9534 By Matching Biggest Common Factor Method

Now, list down the factors of 6919

1,11,17,37,187,407,629,6919

Now, list down the factors of 9534

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Greatest Common Factor

We found the factors 6919,9534 . The biggest common factor number is the GCF number.
So the greatest common factor 6919,9534 is 1.

Lets's calculate LCM of 861,6350

Lowest Common Multiple of 861,6350 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5467350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5467350

Therefore, the GCF of Fractions 6919/861,9534/6350 is 1/5467350

Least Common Multiple of 861,6350 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 861,6350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,6350) = 1

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

GCF(861,6350) x common factors =1 x 1 = 1

LCM(861,6350) = ( 861 × 6350 ) / 1

LCM(861,6350) = 5467350 / 1

LCM(861,6350) = 5467350

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FAQs on GCF of Fractions of 6919/861, 9534/6350

1. What is the HCF of 6919,9534?

The HCF of 6919,9534 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 6919/861, 9534/6350?

Answer: GCF of Numerators as per given numbers 6919/861, 9534/6350 is

GCF of Numerators i.e. for 6919,9534 is 1

LCM of denominators i.e. for 861,6350 is 5467350.

Thus, GCF of Fractions is 1/5467350.Finally, GCF of Fractions for 6919/861, 9534/6350 is 1/5467350.