How to Find GCF of 4718/780, 8307/2190?

GCF of 4718/780, 8307/2190

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 4718/780, 8307/2190 i.e 1/56940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4718/780, 8307/2190.

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 4718/780,8307/2190?

Given fractions are 4718/780,8307/2190

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 4718/780,8307/2190, numerators are 4718,8307

Denominators are 780,2190

The GCF of 4718,8307 is 1 .

LCM of 780,2190 is 56940.

The greatest common factor of 4718/780,8307/2190 = [GCF of 4718,8307]/[LCM of 780,2190]= 1/56940

Therefore, the GCF of 4718/780,8307/2190 is 1/56940.

Greatest Common Factor of 4718,8307

To find the highest common factor of 4718,8307, we have to find the factors of both numbers and list the highest common factor.

The factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718

The factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

The HCF of 4718,8307 is 1.

Lets's calculate GCF of 4718,8307

Greatest Common Factor (GCF) of 4718,8307 By Common Division

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

Greatest Common Factor of 4718,8307 By Matching Biggest Common Factor Method

Now, list down the factors of 4718

1,2,7,14,337,674,2359,4718

Now, list down the factors of 8307

1,3,9,13,39,71,117,213,639,923,2769,8307

Greatest Common Factor

We found the factors 4718,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 4718,8307 is 1.

Lets's calculate LCM of 780,2190

Lowest Common Multiple of 780,2190 using Common Division

2	780, 2190
3	390, 1095
5	130, 365
	26, 73

∴ So the LCM of the given numbers is 2 x 3 x 5 x 26 x 73 = 56940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56940

Therefore, the GCF of Fractions 4718/780,8307/2190 is 1/56940

Least Common Multiple of 780,2190 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 780,2190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,2190) = 30

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

GCF(780,2190) x common factors =30 x 1 = 30

LCM(780,2190) = ( 780 × 2190 ) / 30

LCM(780,2190) = 1708200 / 30

LCM(780,2190) = 56940

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FAQs on GCF of Fractions of 4718/780, 8307/2190

1. What is the HCF of 4718,8307?

The HCF of 4718,8307 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 4718/780, 8307/2190?

Answer: GCF of Numerators as per given numbers 4718/780, 8307/2190 is

GCF of Numerators i.e. for 4718,8307 is 1

LCM of denominators i.e. for 780,2190 is 56940.

Thus, GCF of Fractions is 1/56940.Finally, GCF of Fractions for 4718/780, 8307/2190 is 1/56940.