How to Find GCF of 9876/168, 1370/3709?

GCF of 9876/168, 1370/3709

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 9876/168, 1370/3709 i.e 2/623112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9876/168, 1370/3709.

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 9876/168,1370/3709?

Given fractions are 9876/168,1370/3709

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 9876/168,1370/3709, numerators are 9876,1370

Denominators are 168,3709

The GCF of 9876,1370 is 2 .

LCM of 168,3709 is 623112.

The greatest common factor of 9876/168,1370/3709 = [GCF of 9876,1370]/[LCM of 168,3709]= 2/623112

Therefore, the GCF of 9876/168,1370/3709 is 2/623112.

Greatest Common Factor of 9876,1370

To find the highest common factor of 9876,1370, we have to find the factors of both numbers and list the highest common factor.

The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876

The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370

The HCF of 9876,1370 is 2.

Lets's calculate GCF of 9876,1370

Greatest Common Factor (GCF) of 9876,1370 By Common Division

2	9876, 1370
	4938, 685

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

Greatest Common Factor of 9876,1370 By Matching Biggest Common Factor Method

Now, list down the factors of 9876

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Now, list down the factors of 1370

1,2,5,10,137,274,685,1370

Greatest Common Factor

We found the factors 9876,1370 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,1370 is 2.

Lets's calculate LCM of 168,3709

Lowest Common Multiple of 168,3709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 623112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/623112

Therefore, the GCF of Fractions 9876/168,1370/3709 is 2/623112

Least Common Multiple of 168,3709 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 168,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,3709) = 1

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

GCF(168,3709) x common factors =1 x 1 = 1

LCM(168,3709) = ( 168 × 3709 ) / 1

LCM(168,3709) = 623112 / 1

LCM(168,3709) = 623112

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9876/168, 1370/3709

1. What is the HCF of 9876,1370?

The HCF of 9876,1370 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 9876/168, 1370/3709?

Answer: GCF of Numerators as per given numbers 9876/168, 1370/3709 is

GCF of Numerators i.e. for 9876,1370 is 2

LCM of denominators i.e. for 168,3709 is 623112.

Thus, GCF of Fractions is 2/623112.Finally, GCF of Fractions for 9876/168, 1370/3709 is 2/623112.