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GCF of 985/304, 6274/1488

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 985/304, 6274/1488 i.e 1/28272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/304, 6274/1488.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 985/304,6274/1488?

Given fractions are 985/304,6274/1488

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 985/304,6274/1488, numerators are 985,6274

Denominators are 304,1488

The GCF of 985,6274 is 1 .

LCM of 304,1488 is 28272.

The greatest common factor of 985/304,6274/1488 = [GCF of 985,6274]/[LCM of 304,1488]= 1/28272

Therefore, the GCF of 985/304,6274/1488 is 1/28272.

Greatest Common Factor of 985,6274

To find the highest common factor of 985,6274, we have to find the factors of both numbers and list the highest common factor.

The factors of 985 are 1, 5, 197, 985

The factors of 6274 are 1, 2, 3137, 6274

The HCF of 985,6274 is 1.

Lets's calculate GCF of 985,6274

Greatest Common Factor (GCF) of 985,6274 By Common Division

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

Greatest Common Factor of 985,6274 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,6274 By Matching Biggest Common Factor Method

Now, list down the factors of 985

:

1,5,197,985

Now, list down the factors of 6274

:

1,2,3137,6274

Greatest Common Factor

We found the factors 985,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 985,6274 is 1.

Lets's calculate LCM of 304,1488

Lowest Common Multiple of 304,1488 using Common Division

2 304, 1488
2 152, 744
2 76, 372
2 38, 186
19, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 93 = 28272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28272

Therefore, the GCF of Fractions 985/304,6274/1488 is 1/28272

Least Common Multiple of 304,1488 with GCF Formula

Least Common Multiple of 304,1488 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 304,1488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,1488) = 16

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

GCF(304,1488) x common factors =16 x 1 = 16

LCM(304,1488) = ( 304 × 1488 ) / 16

LCM(304,1488) = 452352 / 16

LCM(304,1488) = 28272


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FAQs on GCF of Fractions of 985/304, 6274/1488

1. What is the HCF of 985,6274?

The HCF of 985,6274 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 985/304, 6274/1488?

Answer: GCF of Numerators as per given numbers 985/304, 6274/1488 is

GCF of Numerators i.e. for 985,6274 is 1

LCM of denominators i.e. for 304,1488 is 28272.

Thus, GCF of Fractions is 1/28272.Finally, GCF of Fractions for 985/304, 6274/1488 is 1/28272.