How to Find GCF of 9205/872, 1059/896?

GCF of 9205/872, 1059/896

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 9205/872, 1059/896 i.e 1/97664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9205/872, 1059/896.

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 9205/872,1059/896?

Given fractions are 9205/872,1059/896

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 9205/872,1059/896, numerators are 9205,1059

Denominators are 872,896

The GCF of 9205,1059 is 1 .

LCM of 872,896 is 97664.

The greatest common factor of 9205/872,1059/896 = [GCF of 9205,1059]/[LCM of 872,896]= 1/97664

Therefore, the GCF of 9205/872,1059/896 is 1/97664.

Greatest Common Factor of 9205,1059

To find the highest common factor of 9205,1059, we have to find the factors of both numbers and list the highest common factor.

The factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205

The factors of 1059 are 1, 3, 353, 1059

The HCF of 9205,1059 is 1.

Lets's calculate GCF of 9205,1059

Greatest Common Factor (GCF) of 9205,1059 By Common Division

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

Greatest Common Factor of 9205,1059 By Matching Biggest Common Factor Method

Now, list down the factors of 9205

1,5,7,35,263,1315,1841,9205

Now, list down the factors of 1059

1,3,353,1059

Greatest Common Factor

We found the factors 9205,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 9205,1059 is 1.

Lets's calculate LCM of 872,896

Lowest Common Multiple of 872,896 using Common Division

2	872, 896
2	436, 448
2	218, 224
	109, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 112 = 97664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97664

Therefore, the GCF of Fractions 9205/872,1059/896 is 1/97664

Least Common Multiple of 872,896 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 872,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,896) = 8

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

GCF(872,896) x common factors =8 x 1 = 8

LCM(872,896) = ( 872 × 896 ) / 8

LCM(872,896) = 781312 / 8

LCM(872,896) = 97664

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FAQs on GCF of Fractions of 9205/872, 1059/896

1. What is the HCF of 9205,1059?

The HCF of 9205,1059 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 9205/872, 1059/896?

Answer: GCF of Numerators as per given numbers 9205/872, 1059/896 is

GCF of Numerators i.e. for 9205,1059 is 1

LCM of denominators i.e. for 872,896 is 97664.

Thus, GCF of Fractions is 1/97664.Finally, GCF of Fractions for 9205/872, 1059/896 is 1/97664.