How to Find GCF of 1007/299, 5938/8385?

GCF of 1007/299, 5938/8385

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 1007/299, 5938/8385 i.e 1/192855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1007/299, 5938/8385.

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 1007/299,5938/8385?

Given fractions are 1007/299,5938/8385

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 1007/299,5938/8385, numerators are 1007,5938

Denominators are 299,8385

The GCF of 1007,5938 is 1 .

LCM of 299,8385 is 192855.

The greatest common factor of 1007/299,5938/8385 = [GCF of 1007,5938]/[LCM of 299,8385]= 1/192855

Therefore, the GCF of 1007/299,5938/8385 is 1/192855.

Greatest Common Factor of 1007,5938

To find the highest common factor of 1007,5938, we have to find the factors of both numbers and list the highest common factor.

The factors of 1007 are 1, 19, 53, 1007

The factors of 5938 are 1, 2, 2969, 5938

The HCF of 1007,5938 is 1.

Lets's calculate GCF of 1007,5938

Greatest Common Factor (GCF) of 1007,5938 By Common Division

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

Greatest Common Factor of 1007,5938 By Matching Biggest Common Factor Method

Now, list down the factors of 1007

1,19,53,1007

Now, list down the factors of 5938

1,2,2969,5938

Greatest Common Factor

We found the factors 1007,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 1007,5938 is 1.

Lets's calculate LCM of 299,8385

Lowest Common Multiple of 299,8385 using Common Division

13	299, 8385
	23, 645

∴ So the LCM of the given numbers is 13 x 23 x 645 = 192855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192855

Therefore, the GCF of Fractions 1007/299,5938/8385 is 1/192855

Least Common Multiple of 299,8385 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 299,8385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,8385) = 13

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

GCF(299,8385) x common factors =13 x 1 = 13

LCM(299,8385) = ( 299 × 8385 ) / 13

LCM(299,8385) = 2507115 / 13

LCM(299,8385) = 192855

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FAQs on GCF of Fractions of 1007/299, 5938/8385

1. What is the HCF of 1007,5938?

The HCF of 1007,5938 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 1007/299, 5938/8385?

Answer: GCF of Numerators as per given numbers 1007/299, 5938/8385 is

GCF of Numerators i.e. for 1007,5938 is 1

LCM of denominators i.e. for 299,8385 is 192855.

Thus, GCF of Fractions is 1/192855.Finally, GCF of Fractions for 1007/299, 5938/8385 is 1/192855.