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GCF of 561/522, 991/840

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 561/522, 991/840 i.e 1/73080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 561/522, 991/840.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 561/522,991/840?

Given fractions are 561/522,991/840

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 561/522,991/840, numerators are 561,991

Denominators are 522,840

The GCF of 561,991 is 1 .

LCM of 522,840 is 73080.

The greatest common factor of 561/522,991/840 = [GCF of 561,991]/[LCM of 522,840]= 1/73080

Therefore, the GCF of 561/522,991/840 is 1/73080.

Greatest Common Factor of 561,991

To find the highest common factor of 561,991, we have to find the factors of both numbers and list the highest common factor.

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The factors of 991 are 1, 991

The HCF of 561,991 is 1.

Lets's calculate GCF of 561,991

Greatest Common Factor (GCF) of 561,991 By Common Division

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

Greatest Common Factor of 561,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,991 By Matching Biggest Common Factor Method

Now, list down the factors of 561

:

1,3,11,17,33,51,187,561

Now, list down the factors of 991

:

1,991

Greatest Common Factor

We found the factors 561,991 . The biggest common factor number is the GCF number.
So the greatest common factor 561,991 is 1.

Lets's calculate LCM of 522,840

Lowest Common Multiple of 522,840 using Common Division

2 522, 840
3 261, 420
87, 140

∴ So the LCM of the given numbers is 2 x 3 x 87 x 140 = 73080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73080

Therefore, the GCF of Fractions 561/522,991/840 is 1/73080

Least Common Multiple of 522,840 with GCF Formula

Least Common Multiple of 522,840 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 522,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,840) = 6

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

GCF(522,840) x common factors =6 x 1 = 6

LCM(522,840) = ( 522 × 840 ) / 6

LCM(522,840) = 438480 / 6

LCM(522,840) = 73080


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FAQs on GCF of Fractions of 561/522, 991/840

1. What is the HCF of 561,991?

The HCF of 561,991 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 561/522, 991/840?

Answer: GCF of Numerators as per given numbers 561/522, 991/840 is

GCF of Numerators i.e. for 561,991 is 1

LCM of denominators i.e. for 522,840 is 73080.

Thus, GCF of Fractions is 1/73080.Finally, GCF of Fractions for 561/522, 991/840 is 1/73080.