How to Find GCF of 9266/900, 5608/7829?

GCF of 9266/900, 5608/7829

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 9266/900, 5608/7829 i.e 2/7046100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9266/900, 5608/7829.

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 9266/900,5608/7829?

Given fractions are 9266/900,5608/7829

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 9266/900,5608/7829, numerators are 9266,5608

Denominators are 900,7829

The GCF of 9266,5608 is 2 .

LCM of 900,7829 is 7046100.

The greatest common factor of 9266/900,5608/7829 = [GCF of 9266,5608]/[LCM of 900,7829]= 2/7046100

Therefore, the GCF of 9266/900,5608/7829 is 2/7046100.

Greatest Common Factor of 9266,5608

To find the highest common factor of 9266,5608, we have to find the factors of both numbers and list the highest common factor.

The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266

The factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608

The HCF of 9266,5608 is 2.

Lets's calculate GCF of 9266,5608

Greatest Common Factor (GCF) of 9266,5608 By Common Division

2	9266, 5608
	4633, 2804

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

Greatest Common Factor of 9266,5608 By Matching Biggest Common Factor Method

Now, list down the factors of 9266

1,2,41,82,113,226,4633,9266

Now, list down the factors of 5608

1,2,4,8,701,1402,2804,5608

Greatest Common Factor

We found the factors 9266,5608 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,5608 is 2.

Lets's calculate LCM of 900,7829

Lowest Common Multiple of 900,7829 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7046100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7046100

Therefore, the GCF of Fractions 9266/900,5608/7829 is 2/7046100

Least Common Multiple of 900,7829 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 900,7829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,7829) = 1

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

GCF(900,7829) x common factors =1 x 1 = 1

LCM(900,7829) = ( 900 × 7829 ) / 1

LCM(900,7829) = 7046100 / 1

LCM(900,7829) = 7046100

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9266/900, 5608/7829

1. What is the HCF of 9266,5608?

The HCF of 9266,5608 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 9266/900, 5608/7829?

Answer: GCF of Numerators as per given numbers 9266/900, 5608/7829 is

GCF of Numerators i.e. for 9266,5608 is 2

LCM of denominators i.e. for 900,7829 is 7046100.

Thus, GCF of Fractions is 2/7046100.Finally, GCF of Fractions for 9266/900, 5608/7829 is 2/7046100.