How to Find GCF of 6562/428, 2231/9468?

GCF of 6562/428, 2231/9468

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 6562/428, 2231/9468 i.e 1/1013076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6562/428, 2231/9468.

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 6562/428,2231/9468?

Given fractions are 6562/428,2231/9468

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 6562/428,2231/9468, numerators are 6562,2231

Denominators are 428,9468

The GCF of 6562,2231 is 1 .

LCM of 428,9468 is 1013076.

The greatest common factor of 6562/428,2231/9468 = [GCF of 6562,2231]/[LCM of 428,9468]= 1/1013076

Therefore, the GCF of 6562/428,2231/9468 is 1/1013076.

Greatest Common Factor of 6562,2231

To find the highest common factor of 6562,2231, we have to find the factors of both numbers and list the highest common factor.

The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562

The factors of 2231 are 1, 23, 97, 2231

The HCF of 6562,2231 is 1.

Lets's calculate GCF of 6562,2231

Greatest Common Factor (GCF) of 6562,2231 By Common Division

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

Greatest Common Factor of 6562,2231 By Matching Biggest Common Factor Method

Now, list down the factors of 6562

1,2,17,34,193,386,3281,6562

Now, list down the factors of 2231

1,23,97,2231

Greatest Common Factor

We found the factors 6562,2231 . The biggest common factor number is the GCF number.
So the greatest common factor 6562,2231 is 1.

Lets's calculate LCM of 428,9468

Lowest Common Multiple of 428,9468 using Common Division

2	428, 9468
2	214, 4734
	107, 2367

∴ So the LCM of the given numbers is 2 x 2 x 107 x 2367 = 1013076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1013076

Therefore, the GCF of Fractions 6562/428,2231/9468 is 1/1013076

Least Common Multiple of 428,9468 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 428,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,9468) = 4

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

GCF(428,9468) x common factors =4 x 1 = 4

LCM(428,9468) = ( 428 × 9468 ) / 4

LCM(428,9468) = 4052304 / 4

LCM(428,9468) = 1013076

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6562/428, 2231/9468

1. What is the HCF of 6562,2231?

The HCF of 6562,2231 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 6562/428, 2231/9468?

Answer: GCF of Numerators as per given numbers 6562/428, 2231/9468 is

GCF of Numerators i.e. for 6562,2231 is 1

LCM of denominators i.e. for 428,9468 is 1013076.

Thus, GCF of Fractions is 1/1013076.Finally, GCF of Fractions for 6562/428, 2231/9468 is 1/1013076.