How to Find GCF of 3908/142, 3516/1561?

GCF of 3908/142, 3516/1561

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 3908/142, 3516/1561 i.e 4/221662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3908/142, 3516/1561.

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 3908/142,3516/1561?

Given fractions are 3908/142,3516/1561

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 3908/142,3516/1561, numerators are 3908,3516

Denominators are 142,1561

The GCF of 3908,3516 is 4 .

LCM of 142,1561 is 221662.

The greatest common factor of 3908/142,3516/1561 = [GCF of 3908,3516]/[LCM of 142,1561]= 4/221662

Therefore, the GCF of 3908/142,3516/1561 is 4/221662.

Greatest Common Factor of 3908,3516

To find the highest common factor of 3908,3516, we have to find the factors of both numbers and list the highest common factor.

The factors of 3908 are 1, 2, 4, 977, 1954, 3908

The factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

The HCF of 3908,3516 is 4.

Lets's calculate GCF of 3908,3516

Greatest Common Factor (GCF) of 3908,3516 By Common Division

2	3908, 3516
2	1954, 1758
	977, 879

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3908,3516 By Matching Biggest Common Factor Method

Now, list down the factors of 3908

1,2,4,977,1954,3908

Now, list down the factors of 3516

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 3908,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 3908,3516 is 4.

Lets's calculate LCM of 142,1561

Lowest Common Multiple of 142,1561 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/221662

Therefore, the GCF of Fractions 3908/142,3516/1561 is 4/221662

Least Common Multiple of 142,1561 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 142,1561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,1561) = 1

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

GCF(142,1561) x common factors =1 x 1 = 1

LCM(142,1561) = ( 142 × 1561 ) / 1

LCM(142,1561) = 221662 / 1

LCM(142,1561) = 221662

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3908/142, 3516/1561

1. What is the HCF of 3908,3516?

The HCF of 3908,3516 is 4

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 3908/142, 3516/1561?

Answer: GCF of Numerators as per given numbers 3908/142, 3516/1561 is

GCF of Numerators i.e. for 3908,3516 is 4

LCM of denominators i.e. for 142,1561 is 221662.

Thus, GCF of Fractions is 4/221662.Finally, GCF of Fractions for 3908/142, 3516/1561 is 4/221662.