How to Find GCF of 1013/672, 2074/4967?

GCF of 1013/672, 2074/4967

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 1013/672, 2074/4967 i.e 1/3337824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1013/672, 2074/4967.

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 1013/672,2074/4967?

Given fractions are 1013/672,2074/4967

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 1013/672,2074/4967, numerators are 1013,2074

Denominators are 672,4967

The GCF of 1013,2074 is 1 .

LCM of 672,4967 is 3337824.

The greatest common factor of 1013/672,2074/4967 = [GCF of 1013,2074]/[LCM of 672,4967]= 1/3337824

Therefore, the GCF of 1013/672,2074/4967 is 1/3337824.

Greatest Common Factor of 1013,2074

To find the highest common factor of 1013,2074, we have to find the factors of both numbers and list the highest common factor.

The factors of 1013 are 1, 1013

The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074

The HCF of 1013,2074 is 1.

Lets's calculate GCF of 1013,2074

Greatest Common Factor (GCF) of 1013,2074 By Common Division

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

Greatest Common Factor of 1013,2074 By Matching Biggest Common Factor Method

Now, list down the factors of 1013

1,1013

Now, list down the factors of 2074

1,2,17,34,61,122,1037,2074

Greatest Common Factor

We found the factors 1013,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,2074 is 1.

Lets's calculate LCM of 672,4967

Lowest Common Multiple of 672,4967 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3337824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3337824

Therefore, the GCF of Fractions 1013/672,2074/4967 is 1/3337824

Least Common Multiple of 672,4967 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 672,4967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,4967) = 1

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

GCF(672,4967) x common factors =1 x 1 = 1

LCM(672,4967) = ( 672 × 4967 ) / 1

LCM(672,4967) = 3337824 / 1

LCM(672,4967) = 3337824

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FAQs on GCF of Fractions of 1013/672, 2074/4967

1. What is the HCF of 1013,2074?

The HCF of 1013,2074 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 1013/672, 2074/4967?

Answer: GCF of Numerators as per given numbers 1013/672, 2074/4967 is

GCF of Numerators i.e. for 1013,2074 is 1

LCM of denominators i.e. for 672,4967 is 3337824.

Thus, GCF of Fractions is 1/3337824.Finally, GCF of Fractions for 1013/672, 2074/4967 is 1/3337824.