GCF of 5655/90, 8996/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5655/90, 8996/932 i.e 13/41940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5655/90, 8996/932.
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 5655/90,8996/932?
Given fractions are 5655/90,8996/932
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 5655/90,8996/932, numerators are 5655,8996
Denominators are 90,932
The GCF of 5655,8996 is 13 .
LCM of 90,932 is 41940.
The greatest common factor of 5655/90,8996/932 = [GCF of 5655,8996]/[LCM of 90,932]= 13/41940
Therefore, the GCF of 5655/90,8996/932 is 13/41940.
To find the highest common factor of 5655,8996, we have to find the factors of both numbers and list the highest common factor.
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The HCF of 5655,8996 is 13.
Lets's calculate GCF of 5655,8996
| 13 | 5655, 8996 |
| 435, 692 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5655,8996 By Matching Biggest Common Factor Method
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Greatest Common Factor
We found the factors 5655,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 5655,8996 is 13.
Lets's calculate LCM of 90,932
| 2 | 90, 932 |
| 45, 466 |
∴ So the LCM of the given numbers is 2 x 45 x 466 = 41940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/41940
Therefore, the GCF of Fractions 5655/90,8996/932 is 13/41940
Least Common Multiple of 90,932 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 90,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,932) x common factors =2 x 1 = 2
LCM(90,932) = ( 90 × 932 ) / 2
LCM(90,932) = 83880 / 2
LCM(90,932) = 41940
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FAQs on GCF of Fractions of 5655/90, 8996/932
1. What is the HCF of 5655,8996?
The HCF of 5655,8996 is 13
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 5655/90, 8996/932?
Answer: GCF of Numerators as per given numbers 5655/90, 8996/932 is
GCF of Numerators i.e. for 5655,8996 is 13
LCM of denominators i.e. for 90,932 is 41940.
Thus, GCF of Fractions is 13/41940.Finally, GCF of Fractions for 5655/90, 8996/932 is 13/41940.