How to Find GCF of 4684/277, 9142/5682?

GCF of 4684/277, 9142/5682

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 4684/277, 9142/5682 i.e 2/1573914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4684/277, 9142/5682.

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 4684/277,9142/5682?

Given fractions are 4684/277,9142/5682

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 4684/277,9142/5682, numerators are 4684,9142

Denominators are 277,5682

The GCF of 4684,9142 is 2 .

LCM of 277,5682 is 1573914.

The greatest common factor of 4684/277,9142/5682 = [GCF of 4684,9142]/[LCM of 277,5682]= 2/1573914

Therefore, the GCF of 4684/277,9142/5682 is 2/1573914.

Greatest Common Factor of 4684,9142

To find the highest common factor of 4684,9142, we have to find the factors of both numbers and list the highest common factor.

The factors of 4684 are 1, 2, 4, 1171, 2342, 4684

The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142

The HCF of 4684,9142 is 2.

Lets's calculate GCF of 4684,9142

Greatest Common Factor (GCF) of 4684,9142 By Common Division

2	4684, 9142
	2342, 4571

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4684,9142 By Matching Biggest Common Factor Method

Now, list down the factors of 4684

1,2,4,1171,2342,4684

Now, list down the factors of 9142

1,2,7,14,653,1306,4571,9142

Greatest Common Factor

We found the factors 4684,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 4684,9142 is 2.

Lets's calculate LCM of 277,5682

Lowest Common Multiple of 277,5682 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1573914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1573914

Therefore, the GCF of Fractions 4684/277,9142/5682 is 2/1573914

Least Common Multiple of 277,5682 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 277,5682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,5682) = 1

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

GCF(277,5682) x common factors =1 x 1 = 1

LCM(277,5682) = ( 277 × 5682 ) / 1

LCM(277,5682) = 1573914 / 1

LCM(277,5682) = 1573914

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4684/277, 9142/5682

1. What is the HCF of 4684,9142?

The HCF of 4684,9142 is 2

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 4684/277, 9142/5682?

Answer: GCF of Numerators as per given numbers 4684/277, 9142/5682 is

GCF of Numerators i.e. for 4684,9142 is 2

LCM of denominators i.e. for 277,5682 is 1573914.

Thus, GCF of Fractions is 2/1573914.Finally, GCF of Fractions for 4684/277, 9142/5682 is 2/1573914.