How to Find GCF of 5929/554, 9779/947?

GCF of 5929/554, 9779/947

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 5929/554, 9779/947 i.e 77/524638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5929/554, 9779/947.

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 5929/554,9779/947?

Given fractions are 5929/554,9779/947

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 5929/554,9779/947, numerators are 5929,9779

Denominators are 554,947

The GCF of 5929,9779 is 77 .

LCM of 554,947 is 524638.

The greatest common factor of 5929/554,9779/947 = [GCF of 5929,9779]/[LCM of 554,947]= 77/524638

Therefore, the GCF of 5929/554,9779/947 is 77/524638.

Greatest Common Factor of 5929,9779

To find the highest common factor of 5929,9779, we have to find the factors of both numbers and list the highest common factor.

The factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929

The factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779

The HCF of 5929,9779 is 77.

Lets's calculate GCF of 5929,9779

Greatest Common Factor (GCF) of 5929,9779 By Common Division

7	5929, 9779
11	847, 1397
	77, 127

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 5929,9779 By Matching Biggest Common Factor Method

Now, list down the factors of 5929

1,7,11,49,77,121,539,847,5929

Now, list down the factors of 9779

1,7,11,77,127,889,1397,9779

Greatest Common Factor

We found the factors 5929,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 5929,9779 is 77.

Lets's calculate LCM of 554,947

Lowest Common Multiple of 554,947 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 524638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/524638

Therefore, the GCF of Fractions 5929/554,9779/947 is 77/524638

Least Common Multiple of 554,947 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 554,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,947) = 1

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

GCF(554,947) x common factors =1 x 1 = 1

LCM(554,947) = ( 554 × 947 ) / 1

LCM(554,947) = 524638 / 1

LCM(554,947) = 524638

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FAQs on GCF of Fractions of 5929/554, 9779/947

1. What is the HCF of 5929,9779?

The HCF of 5929,9779 is 77

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 5929/554, 9779/947?

Answer: GCF of Numerators as per given numbers 5929/554, 9779/947 is

GCF of Numerators i.e. for 5929,9779 is 77

LCM of denominators i.e. for 554,947 is 524638.

Thus, GCF of Fractions is 77/524638.Finally, GCF of Fractions for 5929/554, 9779/947 is 77/524638.