How to Find GCF of 5467/977, 3301/1120?

GCF of 5467/977, 3301/1120

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 5467/977, 3301/1120 i.e 1/1094240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5467/977, 3301/1120.

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 5467/977,3301/1120?

Given fractions are 5467/977,3301/1120

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 5467/977,3301/1120, numerators are 5467,3301

Denominators are 977,1120

The GCF of 5467,3301 is 1 .

LCM of 977,1120 is 1094240.

The greatest common factor of 5467/977,3301/1120 = [GCF of 5467,3301]/[LCM of 977,1120]= 1/1094240

Therefore, the GCF of 5467/977,3301/1120 is 1/1094240.

Greatest Common Factor of 5467,3301

To find the highest common factor of 5467,3301, we have to find the factors of both numbers and list the highest common factor.

The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467

The factors of 3301 are 1, 3301

The HCF of 5467,3301 is 1.

Lets's calculate GCF of 5467,3301

Greatest Common Factor (GCF) of 5467,3301 By Common Division

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

Greatest Common Factor of 5467,3301 By Matching Biggest Common Factor Method

Now, list down the factors of 5467

1,7,11,71,77,497,781,5467

Now, list down the factors of 3301

1,3301

Greatest Common Factor

We found the factors 5467,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,3301 is 1.

Lets's calculate LCM of 977,1120

Lowest Common Multiple of 977,1120 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1094240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1094240

Therefore, the GCF of Fractions 5467/977,3301/1120 is 1/1094240

Least Common Multiple of 977,1120 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 977,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,1120) = 1

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

GCF(977,1120) x common factors =1 x 1 = 1

LCM(977,1120) = ( 977 × 1120 ) / 1

LCM(977,1120) = 1094240 / 1

LCM(977,1120) = 1094240

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FAQs on GCF of Fractions of 5467/977, 3301/1120

1. What is the HCF of 5467,3301?

The HCF of 5467,3301 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 5467/977, 3301/1120?

Answer: GCF of Numerators as per given numbers 5467/977, 3301/1120 is

GCF of Numerators i.e. for 5467,3301 is 1

LCM of denominators i.e. for 977,1120 is 1094240.

Thus, GCF of Fractions is 1/1094240.Finally, GCF of Fractions for 5467/977, 3301/1120 is 1/1094240.