GCF of 8872/118, 9176/5634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8872/118, 9176/5634 i.e 8/332406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8872/118, 9176/5634.
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 8872/118,9176/5634?
Given fractions are 8872/118,9176/5634
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 8872/118,9176/5634, numerators are 8872,9176
Denominators are 118,5634
The GCF of 8872,9176 is 8 .
LCM of 118,5634 is 332406.
The greatest common factor of 8872/118,9176/5634 = [GCF of 8872,9176]/[LCM of 118,5634]= 8/332406
Therefore, the GCF of 8872/118,9176/5634 is 8/332406.
To find the highest common factor of 8872,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 8872,9176 is 8.
Lets's calculate GCF of 8872,9176
| 2 | 8872, 9176 |
| 2 | 4436, 4588 |
| 2 | 2218, 2294 |
| 1109, 1147 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8872,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 8872
:1,2,4,8,1109,2218,4436,8872
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 8872,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 8872,9176 is 8.
Lets's calculate LCM of 118,5634
| 2 | 118, 5634 |
| 59, 2817 |
∴ So the LCM of the given numbers is 2 x 59 x 2817 = 332406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/332406
Therefore, the GCF of Fractions 8872/118,9176/5634 is 8/332406
Least Common Multiple of 118,5634 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 118,5634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,5634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,5634) x common factors =2 x 1 = 2
LCM(118,5634) = ( 118 × 5634 ) / 2
LCM(118,5634) = 664812 / 2
LCM(118,5634) = 332406
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FAQs on GCF of Fractions of 8872/118, 9176/5634
1. What is the HCF of 8872,9176?
The HCF of 8872,9176 is 8
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 8872/118, 9176/5634?
Answer: GCF of Numerators as per given numbers 8872/118, 9176/5634 is
GCF of Numerators i.e. for 8872,9176 is 8
LCM of denominators i.e. for 118,5634 is 332406.
Thus, GCF of Fractions is 8/332406.Finally, GCF of Fractions for 8872/118, 9176/5634 is 8/332406.