How to Find GCF of 1123/251, 6077/1485?

GCF of 1123/251, 6077/1485

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 1123/251, 6077/1485 i.e 1/372735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1123/251, 6077/1485.

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 1123/251,6077/1485?

Given fractions are 1123/251,6077/1485

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 1123/251,6077/1485, numerators are 1123,6077

Denominators are 251,1485

The GCF of 1123,6077 is 1 .

LCM of 251,1485 is 372735.

The greatest common factor of 1123/251,6077/1485 = [GCF of 1123,6077]/[LCM of 251,1485]= 1/372735

Therefore, the GCF of 1123/251,6077/1485 is 1/372735.

Greatest Common Factor of 1123,6077

To find the highest common factor of 1123,6077, we have to find the factors of both numbers and list the highest common factor.

The factors of 1123 are 1, 1123

The factors of 6077 are 1, 59, 103, 6077

The HCF of 1123,6077 is 1.

Lets's calculate GCF of 1123,6077

Greatest Common Factor (GCF) of 1123,6077 By Common Division

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

Greatest Common Factor of 1123,6077 By Matching Biggest Common Factor Method

Now, list down the factors of 1123

1,1123

Now, list down the factors of 6077

1,59,103,6077

Greatest Common Factor

We found the factors 1123,6077 . The biggest common factor number is the GCF number.
So the greatest common factor 1123,6077 is 1.

Lets's calculate LCM of 251,1485

Lowest Common Multiple of 251,1485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 372735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372735

Therefore, the GCF of Fractions 1123/251,6077/1485 is 1/372735

Least Common Multiple of 251,1485 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 251,1485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,1485) = 1

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

GCF(251,1485) x common factors =1 x 1 = 1

LCM(251,1485) = ( 251 × 1485 ) / 1

LCM(251,1485) = 372735 / 1

LCM(251,1485) = 372735

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FAQs on GCF of Fractions of 1123/251, 6077/1485

1. What is the HCF of 1123,6077?

The HCF of 1123,6077 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 1123/251, 6077/1485?

Answer: GCF of Numerators as per given numbers 1123/251, 6077/1485 is

GCF of Numerators i.e. for 1123,6077 is 1

LCM of denominators i.e. for 251,1485 is 372735.

Thus, GCF of Fractions is 1/372735.Finally, GCF of Fractions for 1123/251, 6077/1485 is 1/372735.