How to Find GCF of 4049/634, 9713/7153?

GCF of 4049/634, 9713/7153

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 4049/634, 9713/7153 i.e 1/4535002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4049/634, 9713/7153.

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 4049/634,9713/7153?

Given fractions are 4049/634,9713/7153

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 4049/634,9713/7153, numerators are 4049,9713

Denominators are 634,7153

The GCF of 4049,9713 is 1 .

LCM of 634,7153 is 4535002.

The greatest common factor of 4049/634,9713/7153 = [GCF of 4049,9713]/[LCM of 634,7153]= 1/4535002

Therefore, the GCF of 4049/634,9713/7153 is 1/4535002.

Greatest Common Factor of 4049,9713

To find the highest common factor of 4049,9713, we have to find the factors of both numbers and list the highest common factor.

The factors of 4049 are 1, 4049

The factors of 9713 are 1, 11, 883, 9713

The HCF of 4049,9713 is 1.

Lets's calculate GCF of 4049,9713

Greatest Common Factor (GCF) of 4049,9713 By Common Division

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

Greatest Common Factor of 4049,9713 By Matching Biggest Common Factor Method

Now, list down the factors of 4049

1,4049

Now, list down the factors of 9713

1,11,883,9713

Greatest Common Factor

We found the factors 4049,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,9713 is 1.

Lets's calculate LCM of 634,7153

Lowest Common Multiple of 634,7153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4535002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4535002

Therefore, the GCF of Fractions 4049/634,9713/7153 is 1/4535002

Least Common Multiple of 634,7153 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 634,7153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,7153) = 1

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

GCF(634,7153) x common factors =1 x 1 = 1

LCM(634,7153) = ( 634 × 7153 ) / 1

LCM(634,7153) = 4535002 / 1

LCM(634,7153) = 4535002

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FAQs on GCF of Fractions of 4049/634, 9713/7153

1. What is the HCF of 4049,9713?

The HCF of 4049,9713 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 4049/634, 9713/7153?

Answer: GCF of Numerators as per given numbers 4049/634, 9713/7153 is

GCF of Numerators i.e. for 4049,9713 is 1

LCM of denominators i.e. for 634,7153 is 4535002.

Thus, GCF of Fractions is 1/4535002.Finally, GCF of Fractions for 4049/634, 9713/7153 is 1/4535002.