How to Find GCF of 552/286, 1708/976?

GCF of 552/286, 1708/976

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 552/286, 1708/976 i.e 4/139568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/286, 1708/976.

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 552/286,1708/976?

Given fractions are 552/286,1708/976

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 552/286,1708/976, numerators are 552,1708

Denominators are 286,976

The GCF of 552,1708 is 4 .

LCM of 286,976 is 139568.

The greatest common factor of 552/286,1708/976 = [GCF of 552,1708]/[LCM of 286,976]= 4/139568

Therefore, the GCF of 552/286,1708/976 is 4/139568.

Greatest Common Factor of 552,1708

To find the highest common factor of 552,1708, we have to find the factors of both numbers and list the highest common factor.

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708

The HCF of 552,1708 is 4.

Lets's calculate GCF of 552,1708

Greatest Common Factor (GCF) of 552,1708 By Common Division

2	552, 1708
2	276, 854
	138, 427

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 552,1708 By Matching Biggest Common Factor Method

Now, list down the factors of 552

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Now, list down the factors of 1708

1,2,4,7,14,28,61,122,244,427,854,1708

Greatest Common Factor

We found the factors 552,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 552,1708 is 4.

Lets's calculate LCM of 286,976

Lowest Common Multiple of 286,976 using Common Division

2	286, 976
	143, 488

∴ So the LCM of the given numbers is 2 x 143 x 488 = 139568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/139568

Therefore, the GCF of Fractions 552/286,1708/976 is 4/139568

Least Common Multiple of 286,976 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 286,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,976) = 2

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

GCF(286,976) x common factors =2 x 1 = 2

LCM(286,976) = ( 286 × 976 ) / 2

LCM(286,976) = 279136 / 2

LCM(286,976) = 139568

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FAQs on GCF of Fractions of 552/286, 1708/976

1. What is the HCF of 552,1708?

The HCF of 552,1708 is 4

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 552/286, 1708/976?

Answer: GCF of Numerators as per given numbers 552/286, 1708/976 is

GCF of Numerators i.e. for 552,1708 is 4

LCM of denominators i.e. for 286,976 is 139568.

Thus, GCF of Fractions is 4/139568.Finally, GCF of Fractions for 552/286, 1708/976 is 4/139568.