How to Find GCF of 1121/746, 6211/1787?

GCF of 1121/746, 6211/1787

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 1121/746, 6211/1787 i.e 1/1333102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1121/746, 6211/1787.

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 1121/746,6211/1787?

Given fractions are 1121/746,6211/1787

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 1121/746,6211/1787, numerators are 1121,6211

Denominators are 746,1787

The GCF of 1121,6211 is 1 .

LCM of 746,1787 is 1333102.

The greatest common factor of 1121/746,6211/1787 = [GCF of 1121,6211]/[LCM of 746,1787]= 1/1333102

Therefore, the GCF of 1121/746,6211/1787 is 1/1333102.

Greatest Common Factor of 1121,6211

To find the highest common factor of 1121,6211, we have to find the factors of both numbers and list the highest common factor.

The factors of 1121 are 1, 19, 59, 1121

The factors of 6211 are 1, 6211

The HCF of 1121,6211 is 1.

Lets's calculate GCF of 1121,6211

Greatest Common Factor (GCF) of 1121,6211 By Common Division

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

Greatest Common Factor of 1121,6211 By Matching Biggest Common Factor Method

Now, list down the factors of 1121

1,19,59,1121

Now, list down the factors of 6211

1,6211

Greatest Common Factor

We found the factors 1121,6211 . The biggest common factor number is the GCF number.
So the greatest common factor 1121,6211 is 1.

Lets's calculate LCM of 746,1787

Lowest Common Multiple of 746,1787 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1333102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1333102

Therefore, the GCF of Fractions 1121/746,6211/1787 is 1/1333102

Least Common Multiple of 746,1787 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 746,1787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,1787) = 1

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

GCF(746,1787) x common factors =1 x 1 = 1

LCM(746,1787) = ( 746 × 1787 ) / 1

LCM(746,1787) = 1333102 / 1

LCM(746,1787) = 1333102

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FAQs on GCF of Fractions of 1121/746, 6211/1787

1. What is the HCF of 1121,6211?

The HCF of 1121,6211 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 1121/746, 6211/1787?

Answer: GCF of Numerators as per given numbers 1121/746, 6211/1787 is

GCF of Numerators i.e. for 1121,6211 is 1

LCM of denominators i.e. for 746,1787 is 1333102.

Thus, GCF of Fractions is 1/1333102.Finally, GCF of Fractions for 1121/746, 6211/1787 is 1/1333102.