How to Find GCF of 1040/277, 4979/1362?

GCF of 1040/277, 4979/1362

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 1040/277, 4979/1362 i.e 13/377274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1040/277, 4979/1362.

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 1040/277,4979/1362?

Given fractions are 1040/277,4979/1362

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 1040/277,4979/1362, numerators are 1040,4979

Denominators are 277,1362

The GCF of 1040,4979 is 13 .

LCM of 277,1362 is 377274.

The greatest common factor of 1040/277,4979/1362 = [GCF of 1040,4979]/[LCM of 277,1362]= 13/377274

Therefore, the GCF of 1040/277,4979/1362 is 13/377274.

Greatest Common Factor of 1040,4979

To find the highest common factor of 1040,4979, we have to find the factors of both numbers and list the highest common factor.

The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

The factors of 4979 are 1, 13, 383, 4979

The HCF of 1040,4979 is 13.

Lets's calculate GCF of 1040,4979

Greatest Common Factor (GCF) of 1040,4979 By Common Division

13	1040, 4979
	80, 383

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1040,4979 By Matching Biggest Common Factor Method

Now, list down the factors of 1040

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Now, list down the factors of 4979

1,13,383,4979

Greatest Common Factor

We found the factors 1040,4979 . The biggest common factor number is the GCF number.
So the greatest common factor 1040,4979 is 13.

Lets's calculate LCM of 277,1362

Lowest Common Multiple of 277,1362 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 377274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/377274

Therefore, the GCF of Fractions 1040/277,4979/1362 is 13/377274

Least Common Multiple of 277,1362 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 277,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,1362) = 1

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

GCF(277,1362) x common factors =1 x 1 = 1

LCM(277,1362) = ( 277 × 1362 ) / 1

LCM(277,1362) = 377274 / 1

LCM(277,1362) = 377274

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FAQs on GCF of Fractions of 1040/277, 4979/1362

1. What is the HCF of 1040,4979?

The HCF of 1040,4979 is 13

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 1040/277, 4979/1362?

Answer: GCF of Numerators as per given numbers 1040/277, 4979/1362 is

GCF of Numerators i.e. for 1040,4979 is 13

LCM of denominators i.e. for 277,1362 is 377274.

Thus, GCF of Fractions is 13/377274.Finally, GCF of Fractions for 1040/277, 4979/1362 is 13/377274.