How to Find GCF of 4810/516, 6709/7112?

GCF of 4810/516, 6709/7112

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 4810/516, 6709/7112 i.e 1/917448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4810/516, 6709/7112.

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 4810/516,6709/7112?

Given fractions are 4810/516,6709/7112

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 4810/516,6709/7112, numerators are 4810,6709

Denominators are 516,7112

The GCF of 4810,6709 is 1 .

LCM of 516,7112 is 917448.

The greatest common factor of 4810/516,6709/7112 = [GCF of 4810,6709]/[LCM of 516,7112]= 1/917448

Therefore, the GCF of 4810/516,6709/7112 is 1/917448.

Greatest Common Factor of 4810,6709

To find the highest common factor of 4810,6709, we have to find the factors of both numbers and list the highest common factor.

The factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810

The factors of 6709 are 1, 6709

The HCF of 4810,6709 is 1.

Lets's calculate GCF of 4810,6709

Greatest Common Factor (GCF) of 4810,6709 By Common Division

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

Greatest Common Factor of 4810,6709 By Matching Biggest Common Factor Method

Now, list down the factors of 4810

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Now, list down the factors of 6709

1,6709

Greatest Common Factor

We found the factors 4810,6709 . The biggest common factor number is the GCF number.
So the greatest common factor 4810,6709 is 1.

Lets's calculate LCM of 516,7112

Lowest Common Multiple of 516,7112 using Common Division

2	516, 7112
2	258, 3556
	129, 1778

∴ So the LCM of the given numbers is 2 x 2 x 129 x 1778 = 917448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/917448

Therefore, the GCF of Fractions 4810/516,6709/7112 is 1/917448

Least Common Multiple of 516,7112 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 516,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,7112) = 4

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

GCF(516,7112) x common factors =4 x 1 = 4

LCM(516,7112) = ( 516 × 7112 ) / 4

LCM(516,7112) = 3669792 / 4

LCM(516,7112) = 917448

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4810/516, 6709/7112

1. What is the HCF of 4810,6709?

The HCF of 4810,6709 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 4810/516, 6709/7112?

Answer: GCF of Numerators as per given numbers 4810/516, 6709/7112 is

GCF of Numerators i.e. for 4810,6709 is 1

LCM of denominators i.e. for 516,7112 is 917448.

Thus, GCF of Fractions is 1/917448.Finally, GCF of Fractions for 4810/516, 6709/7112 is 1/917448.