How to Find GCF of 3506/944, 9645/4160?

GCF of 3506/944, 9645/4160

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 3506/944, 9645/4160 i.e 1/245440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3506/944, 9645/4160.

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 3506/944,9645/4160?

Given fractions are 3506/944,9645/4160

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 3506/944,9645/4160, numerators are 3506,9645

Denominators are 944,4160

The GCF of 3506,9645 is 1 .

LCM of 944,4160 is 245440.

The greatest common factor of 3506/944,9645/4160 = [GCF of 3506,9645]/[LCM of 944,4160]= 1/245440

Therefore, the GCF of 3506/944,9645/4160 is 1/245440.

Greatest Common Factor of 3506,9645

To find the highest common factor of 3506,9645, we have to find the factors of both numbers and list the highest common factor.

The factors of 3506 are 1, 2, 1753, 3506

The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645

The HCF of 3506,9645 is 1.

Lets's calculate GCF of 3506,9645

Greatest Common Factor (GCF) of 3506,9645 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3506,9645 By Matching Biggest Common Factor Method

Now, list down the factors of 3506

1,2,1753,3506

Now, list down the factors of 9645

1,3,5,15,643,1929,3215,9645

Greatest Common Factor

We found the factors 3506,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,9645 is 1.

Lets's calculate LCM of 944,4160

Lowest Common Multiple of 944,4160 using Common Division

2	944, 4160
2	472, 2080
2	236, 1040
2	118, 520
	59, 260

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 260 = 245440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245440

Therefore, the GCF of Fractions 3506/944,9645/4160 is 1/245440

Least Common Multiple of 944,4160 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 944,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,4160) = 16

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

GCF(944,4160) x common factors =16 x 1 = 16

LCM(944,4160) = ( 944 × 4160 ) / 16

LCM(944,4160) = 3927040 / 16

LCM(944,4160) = 245440

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FAQs on GCF of Fractions of 3506/944, 9645/4160

1. What is the HCF of 3506,9645?

The HCF of 3506,9645 is 1

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 3506/944, 9645/4160?

Answer: GCF of Numerators as per given numbers 3506/944, 9645/4160 is

GCF of Numerators i.e. for 3506,9645 is 1

LCM of denominators i.e. for 944,4160 is 245440.

Thus, GCF of Fractions is 1/245440.Finally, GCF of Fractions for 3506/944, 9645/4160 is 1/245440.