How to Find GCF of 1029/404, 9748/7360?

GCF of 1029/404, 9748/7360

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 1029/404, 9748/7360 i.e 1/743360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1029/404, 9748/7360.

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 1029/404,9748/7360?

Given fractions are 1029/404,9748/7360

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 1029/404,9748/7360, numerators are 1029,9748

Denominators are 404,7360

The GCF of 1029,9748 is 1 .

LCM of 404,7360 is 743360.

The greatest common factor of 1029/404,9748/7360 = [GCF of 1029,9748]/[LCM of 404,7360]= 1/743360

Therefore, the GCF of 1029/404,9748/7360 is 1/743360.

Greatest Common Factor of 1029,9748

To find the highest common factor of 1029,9748, we have to find the factors of both numbers and list the highest common factor.

The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029

The factors of 9748 are 1, 2, 4, 2437, 4874, 9748

The HCF of 1029,9748 is 1.

Lets's calculate GCF of 1029,9748

Greatest Common Factor (GCF) of 1029,9748 By Common Division

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

Greatest Common Factor of 1029,9748 By Matching Biggest Common Factor Method

Now, list down the factors of 1029

1,3,7,21,49,147,343,1029

Now, list down the factors of 9748

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 1029,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,9748 is 1.

Lets's calculate LCM of 404,7360

Lowest Common Multiple of 404,7360 using Common Division

2	404, 7360
2	202, 3680
	101, 1840

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1840 = 743360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743360

Therefore, the GCF of Fractions 1029/404,9748/7360 is 1/743360

Least Common Multiple of 404,7360 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 404,7360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,7360) = 4

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

GCF(404,7360) x common factors =4 x 1 = 4

LCM(404,7360) = ( 404 × 7360 ) / 4

LCM(404,7360) = 2973440 / 4

LCM(404,7360) = 743360

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FAQs on GCF of Fractions of 1029/404, 9748/7360

1. What is the HCF of 1029,9748?

The HCF of 1029,9748 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 1029/404, 9748/7360?

Answer: GCF of Numerators as per given numbers 1029/404, 9748/7360 is

GCF of Numerators i.e. for 1029,9748 is 1

LCM of denominators i.e. for 404,7360 is 743360.

Thus, GCF of Fractions is 1/743360.Finally, GCF of Fractions for 1029/404, 9748/7360 is 1/743360.