How to Find GCF of 977/584, 4998/886?

GCF of 977/584, 4998/886

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 977/584, 4998/886 i.e 1/258712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/584, 4998/886.

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 977/584,4998/886?

Given fractions are 977/584,4998/886

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 977/584,4998/886, numerators are 977,4998

Denominators are 584,886

The GCF of 977,4998 is 1 .

LCM of 584,886 is 258712.

The greatest common factor of 977/584,4998/886 = [GCF of 977,4998]/[LCM of 584,886]= 1/258712

Therefore, the GCF of 977/584,4998/886 is 1/258712.

Greatest Common Factor of 977,4998

To find the highest common factor of 977,4998, we have to find the factors of both numbers and list the highest common factor.

The factors of 977 are 1, 977

The factors of 4998 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998

The HCF of 977,4998 is 1.

Lets's calculate GCF of 977,4998

Greatest Common Factor (GCF) of 977,4998 By Common Division

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

Greatest Common Factor of 977,4998 By Matching Biggest Common Factor Method

Now, list down the factors of 977

1,977

Now, list down the factors of 4998

1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998

Greatest Common Factor

We found the factors 977,4998 . The biggest common factor number is the GCF number.
So the greatest common factor 977,4998 is 1.

Lets's calculate LCM of 584,886

Lowest Common Multiple of 584,886 using Common Division

2	584, 886
	292, 443

∴ So the LCM of the given numbers is 2 x 292 x 443 = 258712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258712

Therefore, the GCF of Fractions 977/584,4998/886 is 1/258712

Least Common Multiple of 584,886 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 584,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,886) = 2

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

GCF(584,886) x common factors =2 x 1 = 2

LCM(584,886) = ( 584 × 886 ) / 2

LCM(584,886) = 517424 / 2

LCM(584,886) = 258712

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 977/584, 4998/886

1. What is the HCF of 977,4998?

The HCF of 977,4998 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 977/584, 4998/886?

Answer: GCF of Numerators as per given numbers 977/584, 4998/886 is

GCF of Numerators i.e. for 977,4998 is 1

LCM of denominators i.e. for 584,886 is 258712.

Thus, GCF of Fractions is 1/258712.Finally, GCF of Fractions for 977/584, 4998/886 is 1/258712.