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GCF of 552/206, 436/709

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 552/206, 436/709 i.e 4/146054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/206, 436/709.

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 552/206,436/709?

Given fractions are 552/206,436/709

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 552/206,436/709, numerators are 552,436

Denominators are 206,709

The GCF of 552,436 is 4 .

LCM of 206,709 is 146054.

The greatest common factor of 552/206,436/709 = [GCF of 552,436]/[LCM of 206,709]= 4/146054

Therefore, the GCF of 552/206,436/709 is 4/146054.

Greatest Common Factor of 552,436

To find the highest common factor of 552,436, 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 436 are 1, 2, 4, 109, 218, 436

The HCF of 552,436 is 4.

Lets's calculate GCF of 552,436

Greatest Common Factor (GCF) of 552,436 By Common Division

2 552, 436
2 276, 218
138, 109

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

Greatest Common Factor of 552,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,436 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 436

:

1,2,4,109,218,436

Greatest Common Factor

We found the factors 552,436 . The biggest common factor number is the GCF number.
So the greatest common factor 552,436 is 4.

Lets's calculate LCM of 206,709

Lowest Common Multiple of 206,709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 146054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/146054

Therefore, the GCF of Fractions 552/206,436/709 is 4/146054

Least Common Multiple of 206,709 with GCF Formula

Least Common Multiple of 206,709 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 206,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,709) = 1

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

GCF(206,709) x common factors =1 x 1 = 1

LCM(206,709) = ( 206 × 709 ) / 1

LCM(206,709) = 146054 / 1

LCM(206,709) = 146054


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FAQs on GCF of Fractions of 552/206, 436/709

1. What is the HCF of 552,436?

The HCF of 552,436 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 552/206, 436/709?

Answer: GCF of Numerators as per given numbers 552/206, 436/709 is

GCF of Numerators i.e. for 552,436 is 4

LCM of denominators i.e. for 206,709 is 146054.

Thus, GCF of Fractions is 4/146054.Finally, GCF of Fractions for 552/206, 436/709 is 4/146054.