How to Find GCF of 7388/712, 8012/786?

GCF of 7388/712, 8012/786

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 7388/712, 8012/786 i.e 4/279816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7388/712, 8012/786.

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 7388/712,8012/786?

Given fractions are 7388/712,8012/786

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 7388/712,8012/786, numerators are 7388,8012

Denominators are 712,786

The GCF of 7388,8012 is 4 .

LCM of 712,786 is 279816.

The greatest common factor of 7388/712,8012/786 = [GCF of 7388,8012]/[LCM of 712,786]= 4/279816

Therefore, the GCF of 7388/712,8012/786 is 4/279816.

Greatest Common Factor of 7388,8012

To find the highest common factor of 7388,8012, we have to find the factors of both numbers and list the highest common factor.

The factors of 7388 are 1, 2, 4, 1847, 3694, 7388

The factors of 8012 are 1, 2, 4, 2003, 4006, 8012

The HCF of 7388,8012 is 4.

Lets's calculate GCF of 7388,8012

Greatest Common Factor (GCF) of 7388,8012 By Common Division

2	7388, 8012
2	3694, 4006
	1847, 2003

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7388,8012 By Matching Biggest Common Factor Method

Now, list down the factors of 7388

1,2,4,1847,3694,7388

Now, list down the factors of 8012

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors 7388,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 7388,8012 is 4.

Lets's calculate LCM of 712,786

Lowest Common Multiple of 712,786 using Common Division

2	712, 786
	356, 393

∴ So the LCM of the given numbers is 2 x 356 x 393 = 279816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/279816

Therefore, the GCF of Fractions 7388/712,8012/786 is 4/279816

Least Common Multiple of 712,786 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 712,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,786) = 2

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

GCF(712,786) x common factors =2 x 1 = 2

LCM(712,786) = ( 712 × 786 ) / 2

LCM(712,786) = 559632 / 2

LCM(712,786) = 279816

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FAQs on GCF of Fractions of 7388/712, 8012/786

1. What is the HCF of 7388,8012?

The HCF of 7388,8012 is 4

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 7388/712, 8012/786?

Answer: GCF of Numerators as per given numbers 7388/712, 8012/786 is

GCF of Numerators i.e. for 7388,8012 is 4

LCM of denominators i.e. for 712,786 is 279816.

Thus, GCF of Fractions is 4/279816.Finally, GCF of Fractions for 7388/712, 8012/786 is 4/279816.