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GCF of 608/984, 566/820

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 608/984, 566/820 i.e 2/4920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/984, 566/820.

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 608/984,566/820?

Given fractions are 608/984,566/820

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 608/984,566/820, numerators are 608,566

Denominators are 984,820

The GCF of 608,566 is 2 .

LCM of 984,820 is 4920.

The greatest common factor of 608/984,566/820 = [GCF of 608,566]/[LCM of 984,820]= 2/4920

Therefore, the GCF of 608/984,566/820 is 2/4920.

Greatest Common Factor of 608,566

To find the highest common factor of 608,566, we have to find the factors of both numbers and list the highest common factor.

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The factors of 566 are 1, 2, 283, 566

The HCF of 608,566 is 2.

Lets's calculate GCF of 608,566

Greatest Common Factor (GCF) of 608,566 By Common Division

2 608, 566
304, 283

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

Greatest Common Factor of 608,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,566 By Matching Biggest Common Factor Method

Now, list down the factors of 608

:

1,2,4,8,16,19,32,38,76,152,304,608

Now, list down the factors of 566

:

1,2,283,566

Greatest Common Factor

We found the factors 608,566 . The biggest common factor number is the GCF number.
So the greatest common factor 608,566 is 2.

Lets's calculate LCM of 984,820

Lowest Common Multiple of 984,820 using Common Division

2 984, 820
2 492, 410
41 246, 205
6, 5

∴ So the LCM of the given numbers is 2 x 2 x 41 x 6 x 5 = 4920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4920

Therefore, the GCF of Fractions 608/984,566/820 is 2/4920

Least Common Multiple of 984,820 with GCF Formula

Least Common Multiple of 984,820 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 984,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,820) = 164

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

GCF(984,820) x common factors =164 x 1 = 164

LCM(984,820) = ( 984 × 820 ) / 164

LCM(984,820) = 806880 / 164

LCM(984,820) = 4920


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FAQs on GCF of Fractions of 608/984, 566/820

1. What is the HCF of 608,566?

The HCF of 608,566 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 608/984, 566/820?

Answer: GCF of Numerators as per given numbers 608/984, 566/820 is

GCF of Numerators i.e. for 608,566 is 2

LCM of denominators i.e. for 984,820 is 4920.

Thus, GCF of Fractions is 2/4920.Finally, GCF of Fractions for 608/984, 566/820 is 2/4920.