How to Find GCF of 6651/710, 4273/6540?

GCF of 6651/710, 4273/6540

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 6651/710, 4273/6540 i.e 1/464340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6651/710, 4273/6540.

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 6651/710,4273/6540?

Given fractions are 6651/710,4273/6540

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 6651/710,4273/6540, numerators are 6651,4273

Denominators are 710,6540

The GCF of 6651,4273 is 1 .

LCM of 710,6540 is 464340.

The greatest common factor of 6651/710,4273/6540 = [GCF of 6651,4273]/[LCM of 710,6540]= 1/464340

Therefore, the GCF of 6651/710,4273/6540 is 1/464340.

Greatest Common Factor of 6651,4273

To find the highest common factor of 6651,4273, we have to find the factors of both numbers and list the highest common factor.

The factors of 6651 are 1, 3, 9, 739, 2217, 6651

The factors of 4273 are 1, 4273

The HCF of 6651,4273 is 1.

Lets's calculate GCF of 6651,4273

Greatest Common Factor (GCF) of 6651,4273 By Common Division

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

Greatest Common Factor of 6651,4273 By Matching Biggest Common Factor Method

Now, list down the factors of 6651

1,3,9,739,2217,6651

Now, list down the factors of 4273

1,4273

Greatest Common Factor

We found the factors 6651,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 6651,4273 is 1.

Lets's calculate LCM of 710,6540

Lowest Common Multiple of 710,6540 using Common Division

2	710, 6540
5	355, 3270
	71, 654

∴ So the LCM of the given numbers is 2 x 5 x 71 x 654 = 464340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464340

Therefore, the GCF of Fractions 6651/710,4273/6540 is 1/464340

Least Common Multiple of 710,6540 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 710,6540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,6540) = 10

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

GCF(710,6540) x common factors =10 x 1 = 10

LCM(710,6540) = ( 710 × 6540 ) / 10

LCM(710,6540) = 4643400 / 10

LCM(710,6540) = 464340

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FAQs on GCF of Fractions of 6651/710, 4273/6540

1. What is the HCF of 6651,4273?

The HCF of 6651,4273 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 6651/710, 4273/6540?

Answer: GCF of Numerators as per given numbers 6651/710, 4273/6540 is

GCF of Numerators i.e. for 6651,4273 is 1

LCM of denominators i.e. for 710,6540 is 464340.

Thus, GCF of Fractions is 1/464340.Finally, GCF of Fractions for 6651/710, 4273/6540 is 1/464340.