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GCF of 2862/473, 8530/562

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 2862/473, 8530/562 i.e 2/265826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2862/473, 8530/562.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2862/473,8530/562?

Given fractions are 2862/473,8530/562

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 2862/473,8530/562, numerators are 2862,8530

Denominators are 473,562

The GCF of 2862,8530 is 2 .

LCM of 473,562 is 265826.

The greatest common factor of 2862/473,8530/562 = [GCF of 2862,8530]/[LCM of 473,562]= 2/265826

Therefore, the GCF of 2862/473,8530/562 is 2/265826.

Greatest Common Factor of 2862,8530

To find the highest common factor of 2862,8530, we have to find the factors of both numbers and list the highest common factor.

The factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862

The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530

The HCF of 2862,8530 is 2.

Lets's calculate GCF of 2862,8530

Greatest Common Factor (GCF) of 2862,8530 By Common Division

2 2862, 8530
1431, 4265

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

Greatest Common Factor of 2862,8530 By Matching Biggest Common Factor Method

Greatest Common Factor of 2862,8530 By Matching Biggest Common Factor Method

Now, list down the factors of 2862

:

1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862

Now, list down the factors of 8530

:

1,2,5,10,853,1706,4265,8530

Greatest Common Factor

We found the factors 2862,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 2862,8530 is 2.


Lets's calculate LCM of 473,562

Lowest Common Multiple of 473,562 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265826

Therefore, the GCF of Fractions 2862/473,8530/562 is 2/265826

Least Common Multiple of 473,562 with GCF Formula

Least Common Multiple of 473,562 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 473,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,562) = 1

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

GCF(473,562) x common factors =1 x 1 = 1

LCM(473,562) = ( 473 × 562 ) / 1

LCM(473,562) = 265826 / 1

LCM(473,562) = 265826


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2862/473, 8530/562

1. What is the HCF of 2862,8530?

The HCF of 2862,8530 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 2862/473, 8530/562?

Answer: GCF of Numerators as per given numbers 2862/473, 8530/562 is

GCF of Numerators i.e. for 2862,8530 is 2

LCM of denominators i.e. for 473,562 is 265826.

Thus, GCF of Fractions is 2/265826.Finally, GCF of Fractions for 2862/473, 8530/562 is 2/265826.