How to Find GCF of 8907/368, 5704/7000?

GCF of 8907/368, 5704/7000

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 8907/368, 5704/7000 i.e 1/322000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8907/368, 5704/7000.

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 8907/368,5704/7000?

Given fractions are 8907/368,5704/7000

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 8907/368,5704/7000, numerators are 8907,5704

Denominators are 368,7000

The GCF of 8907,5704 is 1 .

LCM of 368,7000 is 322000.

The greatest common factor of 8907/368,5704/7000 = [GCF of 8907,5704]/[LCM of 368,7000]= 1/322000

Therefore, the GCF of 8907/368,5704/7000 is 1/322000.

Greatest Common Factor of 8907,5704

To find the highest common factor of 8907,5704, we have to find the factors of both numbers and list the highest common factor.

The factors of 8907 are 1, 3, 2969, 8907

The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704

The HCF of 8907,5704 is 1.

Lets's calculate GCF of 8907,5704

Greatest Common Factor (GCF) of 8907,5704 By Common Division

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

Greatest Common Factor of 8907,5704 By Matching Biggest Common Factor Method

Now, list down the factors of 8907

1,3,2969,8907

Now, list down the factors of 5704

1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704

Greatest Common Factor

We found the factors 8907,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 8907,5704 is 1.

Lets's calculate LCM of 368,7000

Lowest Common Multiple of 368,7000 using Common Division

2	368, 7000
2	184, 3500
2	92, 1750
	46, 875

∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 875 = 322000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322000

Therefore, the GCF of Fractions 8907/368,5704/7000 is 1/322000

Least Common Multiple of 368,7000 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 368,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,7000) = 8

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

GCF(368,7000) x common factors =8 x 1 = 8

LCM(368,7000) = ( 368 × 7000 ) / 8

LCM(368,7000) = 2576000 / 8

LCM(368,7000) = 322000

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FAQs on GCF of Fractions of 8907/368, 5704/7000

1. What is the HCF of 8907,5704?

The HCF of 8907,5704 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 8907/368, 5704/7000?

Answer: GCF of Numerators as per given numbers 8907/368, 5704/7000 is

GCF of Numerators i.e. for 8907,5704 is 1

LCM of denominators i.e. for 368,7000 is 322000.

Thus, GCF of Fractions is 1/322000.Finally, GCF of Fractions for 8907/368, 5704/7000 is 1/322000.