GCF of 108/64, 880/1244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 108/64, 880/1244 i.e 4/19904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/64, 880/1244.
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 108/64,880/1244?
Given fractions are 108/64,880/1244
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 108/64,880/1244, numerators are 108,880
Denominators are 64,1244
The GCF of 108,880 is 4 .
LCM of 64,1244 is 19904.
The greatest common factor of 108/64,880/1244 = [GCF of 108,880]/[LCM of 64,1244]= 4/19904
Therefore, the GCF of 108/64,880/1244 is 4/19904.
To find the highest common factor of 108,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 108,880 is 4.
Lets's calculate GCF of 108,880
| 2 | 108, 880 |
| 2 | 54, 440 |
| 27, 220 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 108,880 By Matching Biggest Common Factor Method
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 108,880 . The biggest common factor number is the GCF number.
So the greatest common factor 108,880 is 4.
Lets's calculate LCM of 64,1244
| 2 | 64, 1244 |
| 2 | 32, 622 |
| 16, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 311 = 19904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19904
Therefore, the GCF of Fractions 108/64,880/1244 is 4/19904
Least Common Multiple of 64,1244 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 64,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,1244) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,1244) x common factors =4 x 1 = 4
LCM(64,1244) = ( 64 × 1244 ) / 4
LCM(64,1244) = 79616 / 4
LCM(64,1244) = 19904
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FAQs on GCF of Fractions of 108/64, 880/1244
1. What is the HCF of 108,880?
The HCF of 108,880 is 4
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 108/64, 880/1244?
Answer: GCF of Numerators as per given numbers 108/64, 880/1244 is
GCF of Numerators i.e. for 108,880 is 4
LCM of denominators i.e. for 64,1244 is 19904.
Thus, GCF of Fractions is 4/19904.Finally, GCF of Fractions for 108/64, 880/1244 is 4/19904.