How to Find GCF of 1660/732, 2964/3581?

GCF of 1660/732, 2964/3581

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 1660/732, 2964/3581 i.e 4/2621292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/732, 2964/3581.

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 1660/732,2964/3581?

Given fractions are 1660/732,2964/3581

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 1660/732,2964/3581, numerators are 1660,2964

Denominators are 732,3581

The GCF of 1660,2964 is 4 .

LCM of 732,3581 is 2621292.

The greatest common factor of 1660/732,2964/3581 = [GCF of 1660,2964]/[LCM of 732,3581]= 4/2621292

Therefore, the GCF of 1660/732,2964/3581 is 4/2621292.

Greatest Common Factor of 1660,2964

To find the highest common factor of 1660,2964, we have to find the factors of both numbers and list the highest common factor.

The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660

The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964

The HCF of 1660,2964 is 4.

Lets's calculate GCF of 1660,2964

Greatest Common Factor (GCF) of 1660,2964 By Common Division

2	1660, 2964
2	830, 1482
	415, 741

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

Greatest Common Factor of 1660,2964 By Matching Biggest Common Factor Method

Now, list down the factors of 1660

1,2,4,5,10,20,83,166,332,415,830,1660

Now, list down the factors of 2964

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Greatest Common Factor

We found the factors 1660,2964 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,2964 is 4.

Lets's calculate LCM of 732,3581

Lowest Common Multiple of 732,3581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2621292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2621292

Therefore, the GCF of Fractions 1660/732,2964/3581 is 4/2621292

Least Common Multiple of 732,3581 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 732,3581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,3581) = 1

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

GCF(732,3581) x common factors =1 x 1 = 1

LCM(732,3581) = ( 732 × 3581 ) / 1

LCM(732,3581) = 2621292 / 1

LCM(732,3581) = 2621292

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FAQs on GCF of Fractions of 1660/732, 2964/3581

1. What is the HCF of 1660,2964?

The HCF of 1660,2964 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 1660/732, 2964/3581?

Answer: GCF of Numerators as per given numbers 1660/732, 2964/3581 is

GCF of Numerators i.e. for 1660,2964 is 4

LCM of denominators i.e. for 732,3581 is 2621292.

Thus, GCF of Fractions is 4/2621292.Finally, GCF of Fractions for 1660/732, 2964/3581 is 4/2621292.