How to Find GCF of 6329/984, 5709/7980?

GCF of 6329/984, 5709/7980

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 6329/984, 5709/7980 i.e 1/654360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6329/984, 5709/7980.

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 6329/984,5709/7980?

Given fractions are 6329/984,5709/7980

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 6329/984,5709/7980, numerators are 6329,5709

Denominators are 984,7980

The GCF of 6329,5709 is 1 .

LCM of 984,7980 is 654360.

The greatest common factor of 6329/984,5709/7980 = [GCF of 6329,5709]/[LCM of 984,7980]= 1/654360

Therefore, the GCF of 6329/984,5709/7980 is 1/654360.

Greatest Common Factor of 6329,5709

To find the highest common factor of 6329,5709, we have to find the factors of both numbers and list the highest common factor.

The factors of 6329 are 1, 6329

The factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709

The HCF of 6329,5709 is 1.

Lets's calculate GCF of 6329,5709

Greatest Common Factor (GCF) of 6329,5709 By Common Division

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

Greatest Common Factor of 6329,5709 By Matching Biggest Common Factor Method

Now, list down the factors of 6329

1,6329

Now, list down the factors of 5709

1,3,11,33,173,519,1903,5709

Greatest Common Factor

We found the factors 6329,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 6329,5709 is 1.

Lets's calculate LCM of 984,7980

Lowest Common Multiple of 984,7980 using Common Division

2	984, 7980
2	492, 3990
3	246, 1995
	82, 665

∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 665 = 654360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654360

Therefore, the GCF of Fractions 6329/984,5709/7980 is 1/654360

Least Common Multiple of 984,7980 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 984,7980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,7980) = 12

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

GCF(984,7980) x common factors =12 x 1 = 12

LCM(984,7980) = ( 984 × 7980 ) / 12

LCM(984,7980) = 7852320 / 12

LCM(984,7980) = 654360

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FAQs on GCF of Fractions of 6329/984, 5709/7980

1. What is the HCF of 6329,5709?

The HCF of 6329,5709 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 6329/984, 5709/7980?

Answer: GCF of Numerators as per given numbers 6329/984, 5709/7980 is

GCF of Numerators i.e. for 6329,5709 is 1

LCM of denominators i.e. for 984,7980 is 654360.

Thus, GCF of Fractions is 1/654360.Finally, GCF of Fractions for 6329/984, 5709/7980 is 1/654360.