GCF of 8911/872, 5530/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8911/872, 5530/928 i.e 7/101152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8911/872, 5530/928.
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 8911/872,5530/928?
Given fractions are 8911/872,5530/928
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 8911/872,5530/928, numerators are 8911,5530
Denominators are 872,928
The GCF of 8911,5530 is 7 .
LCM of 872,928 is 101152.
The greatest common factor of 8911/872,5530/928 = [GCF of 8911,5530]/[LCM of 872,928]= 7/101152
Therefore, the GCF of 8911/872,5530/928 is 7/101152.
To find the highest common factor of 8911,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 8911,5530 is 7.
Lets's calculate GCF of 8911,5530
| 7 | 8911, 5530 |
| 1273, 790 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8911,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 8911
:1,7,19,67,133,469,1273,8911
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 8911,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 8911,5530 is 7.
Lets's calculate LCM of 872,928
| 2 | 872, 928 |
| 2 | 436, 464 |
| 2 | 218, 232 |
| 109, 116 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 116 = 101152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/101152
Therefore, the GCF of Fractions 8911/872,5530/928 is 7/101152
Least Common Multiple of 872,928 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 872,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,928) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,928) x common factors =8 x 1 = 8
LCM(872,928) = ( 872 × 928 ) / 8
LCM(872,928) = 809216 / 8
LCM(872,928) = 101152
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FAQs on GCF of Fractions of 8911/872, 5530/928
1. What is the HCF of 8911,5530?
The HCF of 8911,5530 is 7
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 8911/872, 5530/928?
Answer: GCF of Numerators as per given numbers 8911/872, 5530/928 is
GCF of Numerators i.e. for 8911,5530 is 7
LCM of denominators i.e. for 872,928 is 101152.
Thus, GCF of Fractions is 7/101152.Finally, GCF of Fractions for 8911/872, 5530/928 is 7/101152.