GCF of 1152/616, 6976/8194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1152/616, 6976/8194 i.e 64/2523752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1152/616, 6976/8194.
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 1152/616,6976/8194?
Given fractions are 1152/616,6976/8194
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 1152/616,6976/8194, numerators are 1152,6976
Denominators are 616,8194
The GCF of 1152,6976 is 64 .
LCM of 616,8194 is 2523752.
The greatest common factor of 1152/616,6976/8194 = [GCF of 1152,6976]/[LCM of 616,8194]= 64/2523752
Therefore, the GCF of 1152/616,6976/8194 is 64/2523752.
To find the highest common factor of 1152,6976, we have to find the factors of both numbers and list the highest common factor.
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976
The HCF of 1152,6976 is 64.
Lets's calculate GCF of 1152,6976
| 2 | 1152, 6976 |
| 2 | 576, 3488 |
| 2 | 288, 1744 |
| 2 | 144, 872 |
| 2 | 72, 436 |
| 2 | 36, 218 |
| 18, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 1152,6976 By Matching Biggest Common Factor Method
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Now, list down the factors of 6976
:1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Greatest Common Factor
We found the factors 1152,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 1152,6976 is 64.
Lets's calculate LCM of 616,8194
| 2 | 616, 8194 |
| 308, 4097 |
∴ So the LCM of the given numbers is 2 x 308 x 4097 = 2523752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/2523752
Therefore, the GCF of Fractions 1152/616,6976/8194 is 64/2523752
Least Common Multiple of 616,8194 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 616,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,8194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,8194) x common factors =2 x 1 = 2
LCM(616,8194) = ( 616 × 8194 ) / 2
LCM(616,8194) = 5047504 / 2
LCM(616,8194) = 2523752
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FAQs on GCF of Fractions of 1152/616, 6976/8194
1. What is the HCF of 1152,6976?
The HCF of 1152,6976 is 64
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 1152/616, 6976/8194?
Answer: GCF of Numerators as per given numbers 1152/616, 6976/8194 is
GCF of Numerators i.e. for 1152,6976 is 64
LCM of denominators i.e. for 616,8194 is 2523752.
Thus, GCF of Fractions is 64/2523752.Finally, GCF of Fractions for 1152/616, 6976/8194 is 64/2523752.