How to Find GCF of 388/947, 7749/8315?

GCF of 388/947, 7749/8315

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 388/947, 7749/8315 i.e 1/7874305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/947, 7749/8315.

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 388/947,7749/8315?

Given fractions are 388/947,7749/8315

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 388/947,7749/8315, numerators are 388,7749

Denominators are 947,8315

The GCF of 388,7749 is 1 .

LCM of 947,8315 is 7874305.

The greatest common factor of 388/947,7749/8315 = [GCF of 388,7749]/[LCM of 947,8315]= 1/7874305

Therefore, the GCF of 388/947,7749/8315 is 1/7874305.

Greatest Common Factor of 388,7749

To find the highest common factor of 388,7749, we have to find the factors of both numbers and list the highest common factor.

The factors of 388 are 1, 2, 4, 97, 194, 388

The factors of 7749 are 1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749

The HCF of 388,7749 is 1.

Lets's calculate GCF of 388,7749

Greatest Common Factor (GCF) of 388,7749 By Common Division

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

Greatest Common Factor of 388,7749 By Matching Biggest Common Factor Method

Now, list down the factors of 388

1,2,4,97,194,388

Now, list down the factors of 7749

1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749

Greatest Common Factor

We found the factors 388,7749 . The biggest common factor number is the GCF number.
So the greatest common factor 388,7749 is 1.

Lets's calculate LCM of 947,8315

Lowest Common Multiple of 947,8315 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7874305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7874305

Therefore, the GCF of Fractions 388/947,7749/8315 is 1/7874305

Least Common Multiple of 947,8315 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 947,8315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,8315) = 1

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

GCF(947,8315) x common factors =1 x 1 = 1

LCM(947,8315) = ( 947 × 8315 ) / 1

LCM(947,8315) = 7874305 / 1

LCM(947,8315) = 7874305

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FAQs on GCF of Fractions of 388/947, 7749/8315

1. What is the HCF of 388,7749?

The HCF of 388,7749 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 388/947, 7749/8315?

Answer: GCF of Numerators as per given numbers 388/947, 7749/8315 is

GCF of Numerators i.e. for 388,7749 is 1

LCM of denominators i.e. for 947,8315 is 7874305.

Thus, GCF of Fractions is 1/7874305.Finally, GCF of Fractions for 388/947, 7749/8315 is 1/7874305.