How to Find GCF of 1072/921, 8693/1882?

GCF of 1072/921, 8693/1882

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 1072/921, 8693/1882 i.e 1/1733322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1072/921, 8693/1882.

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 1072/921,8693/1882?

Given fractions are 1072/921,8693/1882

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 1072/921,8693/1882, numerators are 1072,8693

Denominators are 921,1882

The GCF of 1072,8693 is 1 .

LCM of 921,1882 is 1733322.

The greatest common factor of 1072/921,8693/1882 = [GCF of 1072,8693]/[LCM of 921,1882]= 1/1733322

Therefore, the GCF of 1072/921,8693/1882 is 1/1733322.

Greatest Common Factor of 1072,8693

To find the highest common factor of 1072,8693, we have to find the factors of both numbers and list the highest common factor.

The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

The factors of 8693 are 1, 8693

The HCF of 1072,8693 is 1.

Lets's calculate GCF of 1072,8693

Greatest Common Factor (GCF) of 1072,8693 By Common Division

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

Greatest Common Factor of 1072,8693 By Matching Biggest Common Factor Method

Now, list down the factors of 1072

1,2,4,8,16,67,134,268,536,1072

Now, list down the factors of 8693

1,8693

Greatest Common Factor

We found the factors 1072,8693 . The biggest common factor number is the GCF number.
So the greatest common factor 1072,8693 is 1.

Lets's calculate LCM of 921,1882

Lowest Common Multiple of 921,1882 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1733322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1733322

Therefore, the GCF of Fractions 1072/921,8693/1882 is 1/1733322

Least Common Multiple of 921,1882 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 921,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,1882) = 1

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

GCF(921,1882) x common factors =1 x 1 = 1

LCM(921,1882) = ( 921 × 1882 ) / 1

LCM(921,1882) = 1733322 / 1

LCM(921,1882) = 1733322

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FAQs on GCF of Fractions of 1072/921, 8693/1882

1. What is the HCF of 1072,8693?

The HCF of 1072,8693 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 1072/921, 8693/1882?

Answer: GCF of Numerators as per given numbers 1072/921, 8693/1882 is

GCF of Numerators i.e. for 1072,8693 is 1

LCM of denominators i.e. for 921,1882 is 1733322.

Thus, GCF of Fractions is 1/1733322.Finally, GCF of Fractions for 1072/921, 8693/1882 is 1/1733322.