How to Find GCF of 1908/960, 4273/4636?

GCF of 1908/960, 4273/4636

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 1908/960, 4273/4636 i.e 1/1112640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1908/960, 4273/4636.

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 1908/960,4273/4636?

Given fractions are 1908/960,4273/4636

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 1908/960,4273/4636, numerators are 1908,4273

Denominators are 960,4636

The GCF of 1908,4273 is 1 .

LCM of 960,4636 is 1112640.

The greatest common factor of 1908/960,4273/4636 = [GCF of 1908,4273]/[LCM of 960,4636]= 1/1112640

Therefore, the GCF of 1908/960,4273/4636 is 1/1112640.

Greatest Common Factor of 1908,4273

To find the highest common factor of 1908,4273, we have to find the factors of both numbers and list the highest common factor.

The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908

The factors of 4273 are 1, 4273

The HCF of 1908,4273 is 1.

Lets's calculate GCF of 1908,4273

Greatest Common Factor (GCF) of 1908,4273 By Common Division

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

Greatest Common Factor of 1908,4273 By Matching Biggest Common Factor Method

Now, list down the factors of 1908

1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908

Now, list down the factors of 4273

1,4273

Greatest Common Factor

We found the factors 1908,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 1908,4273 is 1.

Lets's calculate LCM of 960,4636

Lowest Common Multiple of 960,4636 using Common Division

2	960, 4636
2	480, 2318
	240, 1159

∴ So the LCM of the given numbers is 2 x 2 x 240 x 1159 = 1112640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112640

Therefore, the GCF of Fractions 1908/960,4273/4636 is 1/1112640

Least Common Multiple of 960,4636 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 960,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4636) = 4

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

GCF(960,4636) x common factors =4 x 1 = 4

LCM(960,4636) = ( 960 × 4636 ) / 4

LCM(960,4636) = 4450560 / 4

LCM(960,4636) = 1112640

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FAQs on GCF of Fractions of 1908/960, 4273/4636

1. What is the HCF of 1908,4273?

The HCF of 1908,4273 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 1908/960, 4273/4636?

Answer: GCF of Numerators as per given numbers 1908/960, 4273/4636 is

GCF of Numerators i.e. for 1908,4273 is 1

LCM of denominators i.e. for 960,4636 is 1112640.

Thus, GCF of Fractions is 1/1112640.Finally, GCF of Fractions for 1908/960, 4273/4636 is 1/1112640.