How to Find GCF of 1907/464, 8606/3144?

GCF of 1907/464, 8606/3144

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 1907/464, 8606/3144 i.e 1/182352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1907/464, 8606/3144.

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 1907/464,8606/3144?

Given fractions are 1907/464,8606/3144

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 1907/464,8606/3144, numerators are 1907,8606

Denominators are 464,3144

The GCF of 1907,8606 is 1 .

LCM of 464,3144 is 182352.

The greatest common factor of 1907/464,8606/3144 = [GCF of 1907,8606]/[LCM of 464,3144]= 1/182352

Therefore, the GCF of 1907/464,8606/3144 is 1/182352.

Greatest Common Factor of 1907,8606

To find the highest common factor of 1907,8606, we have to find the factors of both numbers and list the highest common factor.

The factors of 1907 are 1, 1907

The factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606

The HCF of 1907,8606 is 1.

Lets's calculate GCF of 1907,8606

Greatest Common Factor (GCF) of 1907,8606 By Common Division

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

Greatest Common Factor of 1907,8606 By Matching Biggest Common Factor Method

Now, list down the factors of 1907

1,1907

Now, list down the factors of 8606

1,2,13,26,331,662,4303,8606

Greatest Common Factor

We found the factors 1907,8606 . The biggest common factor number is the GCF number.
So the greatest common factor 1907,8606 is 1.

Lets's calculate LCM of 464,3144

Lowest Common Multiple of 464,3144 using Common Division

2	464, 3144
2	232, 1572
2	116, 786
	58, 393

∴ So the LCM of the given numbers is 2 x 2 x 2 x 58 x 393 = 182352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182352

Therefore, the GCF of Fractions 1907/464,8606/3144 is 1/182352

Least Common Multiple of 464,3144 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 464,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,3144) = 8

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

GCF(464,3144) x common factors =8 x 1 = 8

LCM(464,3144) = ( 464 × 3144 ) / 8

LCM(464,3144) = 1458816 / 8

LCM(464,3144) = 182352

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FAQs on GCF of Fractions of 1907/464, 8606/3144

1. What is the HCF of 1907,8606?

The HCF of 1907,8606 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 1907/464, 8606/3144?

Answer: GCF of Numerators as per given numbers 1907/464, 8606/3144 is

GCF of Numerators i.e. for 1907,8606 is 1

LCM of denominators i.e. for 464,3144 is 182352.

Thus, GCF of Fractions is 1/182352.Finally, GCF of Fractions for 1907/464, 8606/3144 is 1/182352.