How to Find GCF of 7436/561, 3436/1637?

GCF of 7436/561, 3436/1637

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 7436/561, 3436/1637 i.e 4/918357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7436/561, 3436/1637.

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 7436/561,3436/1637?

Given fractions are 7436/561,3436/1637

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 7436/561,3436/1637, numerators are 7436,3436

Denominators are 561,1637

The GCF of 7436,3436 is 4 .

LCM of 561,1637 is 918357.

The greatest common factor of 7436/561,3436/1637 = [GCF of 7436,3436]/[LCM of 561,1637]= 4/918357

Therefore, the GCF of 7436/561,3436/1637 is 4/918357.

Greatest Common Factor of 7436,3436

To find the highest common factor of 7436,3436, we have to find the factors of both numbers and list the highest common factor.

The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436

The factors of 3436 are 1, 2, 4, 859, 1718, 3436

The HCF of 7436,3436 is 4.

Lets's calculate GCF of 7436,3436

Greatest Common Factor (GCF) of 7436,3436 By Common Division

2	7436, 3436
2	3718, 1718
	1859, 859

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

Greatest Common Factor of 7436,3436 By Matching Biggest Common Factor Method

Now, list down the factors of 7436

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Now, list down the factors of 3436

1,2,4,859,1718,3436

Greatest Common Factor

We found the factors 7436,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 7436,3436 is 4.

Lets's calculate LCM of 561,1637

Lowest Common Multiple of 561,1637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 918357

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/918357

Therefore, the GCF of Fractions 7436/561,3436/1637 is 4/918357

Least Common Multiple of 561,1637 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 561,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,1637) = 1

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

GCF(561,1637) x common factors =1 x 1 = 1

LCM(561,1637) = ( 561 × 1637 ) / 1

LCM(561,1637) = 918357 / 1

LCM(561,1637) = 918357

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FAQs on GCF of Fractions of 7436/561, 3436/1637

1. What is the HCF of 7436,3436?

The HCF of 7436,3436 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 7436/561, 3436/1637?

Answer: GCF of Numerators as per given numbers 7436/561, 3436/1637 is

GCF of Numerators i.e. for 7436,3436 is 4

LCM of denominators i.e. for 561,1637 is 918357.

Thus, GCF of Fractions is 4/918357.Finally, GCF of Fractions for 7436/561, 3436/1637 is 4/918357.