How to Find GCF of 907/274, 8004/6510?

GCF of 907/274, 8004/6510

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 907/274, 8004/6510 i.e 1/891870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/274, 8004/6510.

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 907/274,8004/6510?

Given fractions are 907/274,8004/6510

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 907/274,8004/6510, numerators are 907,8004

Denominators are 274,6510

The GCF of 907,8004 is 1 .

LCM of 274,6510 is 891870.

The greatest common factor of 907/274,8004/6510 = [GCF of 907,8004]/[LCM of 274,6510]= 1/891870

Therefore, the GCF of 907/274,8004/6510 is 1/891870.

Greatest Common Factor of 907,8004

To find the highest common factor of 907,8004, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

The HCF of 907,8004 is 1.

Lets's calculate GCF of 907,8004

Greatest Common Factor (GCF) of 907,8004 By Common Division

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

Greatest Common Factor of 907,8004 By Matching Biggest Common Factor Method

Now, list down the factors of 907

1,907

Now, list down the factors of 8004

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 907,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 907,8004 is 1.

Lets's calculate LCM of 274,6510

Lowest Common Multiple of 274,6510 using Common Division

2	274, 6510
	137, 3255

∴ So the LCM of the given numbers is 2 x 137 x 3255 = 891870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891870

Therefore, the GCF of Fractions 907/274,8004/6510 is 1/891870

Least Common Multiple of 274,6510 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 274,6510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,6510) = 2

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

GCF(274,6510) x common factors =2 x 1 = 2

LCM(274,6510) = ( 274 × 6510 ) / 2

LCM(274,6510) = 1783740 / 2

LCM(274,6510) = 891870

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 907/274, 8004/6510

1. What is the HCF of 907,8004?

The HCF of 907,8004 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 907/274, 8004/6510?

Answer: GCF of Numerators as per given numbers 907/274, 8004/6510 is

GCF of Numerators i.e. for 907,8004 is 1

LCM of denominators i.e. for 274,6510 is 891870.

Thus, GCF of Fractions is 1/891870.Finally, GCF of Fractions for 907/274, 8004/6510 is 1/891870.