How to Find GCF of 7340/988, 8293/6128?

GCF of 7340/988, 8293/6128

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 7340/988, 8293/6128 i.e 1/1513616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7340/988, 8293/6128.

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 7340/988,8293/6128?

Given fractions are 7340/988,8293/6128

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 7340/988,8293/6128, numerators are 7340,8293

Denominators are 988,6128

The GCF of 7340,8293 is 1 .

LCM of 988,6128 is 1513616.

The greatest common factor of 7340/988,8293/6128 = [GCF of 7340,8293]/[LCM of 988,6128]= 1/1513616

Therefore, the GCF of 7340/988,8293/6128 is 1/1513616.

Greatest Common Factor of 7340,8293

To find the highest common factor of 7340,8293, we have to find the factors of both numbers and list the highest common factor.

The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

The factors of 8293 are 1, 8293

The HCF of 7340,8293 is 1.

Lets's calculate GCF of 7340,8293

Greatest Common Factor (GCF) of 7340,8293 By Common Division

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

Greatest Common Factor of 7340,8293 By Matching Biggest Common Factor Method

Now, list down the factors of 7340

1,2,4,5,10,20,367,734,1468,1835,3670,7340

Now, list down the factors of 8293

1,8293

Greatest Common Factor

We found the factors 7340,8293 . The biggest common factor number is the GCF number.
So the greatest common factor 7340,8293 is 1.

Lets's calculate LCM of 988,6128

Lowest Common Multiple of 988,6128 using Common Division

2	988, 6128
2	494, 3064
	247, 1532

∴ So the LCM of the given numbers is 2 x 2 x 247 x 1532 = 1513616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1513616

Therefore, the GCF of Fractions 7340/988,8293/6128 is 1/1513616

Least Common Multiple of 988,6128 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 988,6128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,6128) = 4

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

GCF(988,6128) x common factors =4 x 1 = 4

LCM(988,6128) = ( 988 × 6128 ) / 4

LCM(988,6128) = 6054464 / 4

LCM(988,6128) = 1513616

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FAQs on GCF of Fractions of 7340/988, 8293/6128

1. What is the HCF of 7340,8293?

The HCF of 7340,8293 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 7340/988, 8293/6128?

Answer: GCF of Numerators as per given numbers 7340/988, 8293/6128 is

GCF of Numerators i.e. for 7340,8293 is 1

LCM of denominators i.e. for 988,6128 is 1513616.

Thus, GCF of Fractions is 1/1513616.Finally, GCF of Fractions for 7340/988, 8293/6128 is 1/1513616.