How to Find GCF of 6418/650, 8528/3733?

GCF of 6418/650, 8528/3733

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 6418/650, 8528/3733 i.e 2/2426450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6418/650, 8528/3733.

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 6418/650,8528/3733?

Given fractions are 6418/650,8528/3733

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 6418/650,8528/3733, numerators are 6418,8528

Denominators are 650,3733

The GCF of 6418,8528 is 2 .

LCM of 650,3733 is 2426450.

The greatest common factor of 6418/650,8528/3733 = [GCF of 6418,8528]/[LCM of 650,3733]= 2/2426450

Therefore, the GCF of 6418/650,8528/3733 is 2/2426450.

Greatest Common Factor of 6418,8528

To find the highest common factor of 6418,8528, we have to find the factors of both numbers and list the highest common factor.

The factors of 6418 are 1, 2, 3209, 6418

The factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528

The HCF of 6418,8528 is 2.

Lets's calculate GCF of 6418,8528

Greatest Common Factor (GCF) of 6418,8528 By Common Division

2	6418, 8528
	3209, 4264

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

Greatest Common Factor of 6418,8528 By Matching Biggest Common Factor Method

Now, list down the factors of 6418

1,2,3209,6418

Now, list down the factors of 8528

1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528

Greatest Common Factor

We found the factors 6418,8528 . The biggest common factor number is the GCF number.
So the greatest common factor 6418,8528 is 2.

Lets's calculate LCM of 650,3733

Lowest Common Multiple of 650,3733 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2426450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2426450

Therefore, the GCF of Fractions 6418/650,8528/3733 is 2/2426450

Least Common Multiple of 650,3733 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 650,3733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,3733) = 1

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

GCF(650,3733) x common factors =1 x 1 = 1

LCM(650,3733) = ( 650 × 3733 ) / 1

LCM(650,3733) = 2426450 / 1

LCM(650,3733) = 2426450

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FAQs on GCF of Fractions of 6418/650, 8528/3733

1. What is the HCF of 6418,8528?

The HCF of 6418,8528 is 2

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 6418/650, 8528/3733?

Answer: GCF of Numerators as per given numbers 6418/650, 8528/3733 is

GCF of Numerators i.e. for 6418,8528 is 2

LCM of denominators i.e. for 650,3733 is 2426450.

Thus, GCF of Fractions is 2/2426450.Finally, GCF of Fractions for 6418/650, 8528/3733 is 2/2426450.