How to Find GCF of 7015/480, 1948/8303?

GCF of 7015/480, 1948/8303

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 7015/480, 1948/8303 i.e 1/3985440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7015/480, 1948/8303.

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 7015/480,1948/8303?

Given fractions are 7015/480,1948/8303

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 7015/480,1948/8303, numerators are 7015,1948

Denominators are 480,8303

The GCF of 7015,1948 is 1 .

LCM of 480,8303 is 3985440.

The greatest common factor of 7015/480,1948/8303 = [GCF of 7015,1948]/[LCM of 480,8303]= 1/3985440

Therefore, the GCF of 7015/480,1948/8303 is 1/3985440.

Greatest Common Factor of 7015,1948

To find the highest common factor of 7015,1948, we have to find the factors of both numbers and list the highest common factor.

The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015

The factors of 1948 are 1, 2, 4, 487, 974, 1948

The HCF of 7015,1948 is 1.

Lets's calculate GCF of 7015,1948

Greatest Common Factor (GCF) of 7015,1948 By Common Division

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

Greatest Common Factor of 7015,1948 By Matching Biggest Common Factor Method

Now, list down the factors of 7015

1,5,23,61,115,305,1403,7015

Now, list down the factors of 1948

1,2,4,487,974,1948

Greatest Common Factor

We found the factors 7015,1948 . The biggest common factor number is the GCF number.
So the greatest common factor 7015,1948 is 1.

Lets's calculate LCM of 480,8303

Lowest Common Multiple of 480,8303 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3985440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3985440

Therefore, the GCF of Fractions 7015/480,1948/8303 is 1/3985440

Least Common Multiple of 480,8303 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 480,8303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,8303) = 1

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

GCF(480,8303) x common factors =1 x 1 = 1

LCM(480,8303) = ( 480 × 8303 ) / 1

LCM(480,8303) = 3985440 / 1

LCM(480,8303) = 3985440

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FAQs on GCF of Fractions of 7015/480, 1948/8303

1. What is the HCF of 7015,1948?

The HCF of 7015,1948 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 7015/480, 1948/8303?

Answer: GCF of Numerators as per given numbers 7015/480, 1948/8303 is

GCF of Numerators i.e. for 7015,1948 is 1

LCM of denominators i.e. for 480,8303 is 3985440.

Thus, GCF of Fractions is 1/3985440.Finally, GCF of Fractions for 7015/480, 1948/8303 is 1/3985440.