GCF of 4816/344, 5352/1388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4816/344, 5352/1388 i.e 8/119368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4816/344, 5352/1388.
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 4816/344,5352/1388?
Given fractions are 4816/344,5352/1388
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 4816/344,5352/1388, numerators are 4816,5352
Denominators are 344,1388
The GCF of 4816,5352 is 8 .
LCM of 344,1388 is 119368.
The greatest common factor of 4816/344,5352/1388 = [GCF of 4816,5352]/[LCM of 344,1388]= 8/119368
Therefore, the GCF of 4816/344,5352/1388 is 8/119368.
To find the highest common factor of 4816,5352, we have to find the factors of both numbers and list the highest common factor.
The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The HCF of 4816,5352 is 8.
Lets's calculate GCF of 4816,5352
| 2 | 4816, 5352 |
| 2 | 2408, 2676 |
| 2 | 1204, 1338 |
| 602, 669 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4816,5352 By Matching Biggest Common Factor Method
Now, list down the factors of 4816
:1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Greatest Common Factor
We found the factors 4816,5352 . The biggest common factor number is the GCF number.
So the greatest common factor 4816,5352 is 8.
Lets's calculate LCM of 344,1388
| 2 | 344, 1388 |
| 2 | 172, 694 |
| 86, 347 |
∴ So the LCM of the given numbers is 2 x 2 x 86 x 347 = 119368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/119368
Therefore, the GCF of Fractions 4816/344,5352/1388 is 8/119368
Least Common Multiple of 344,1388 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 344,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,1388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(344,1388) x common factors =4 x 1 = 4
LCM(344,1388) = ( 344 × 1388 ) / 4
LCM(344,1388) = 477472 / 4
LCM(344,1388) = 119368
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FAQs on GCF of Fractions of 4816/344, 5352/1388
1. What is the HCF of 4816,5352?
The HCF of 4816,5352 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 4816/344, 5352/1388?
Answer: GCF of Numerators as per given numbers 4816/344, 5352/1388 is
GCF of Numerators i.e. for 4816,5352 is 8
LCM of denominators i.e. for 344,1388 is 119368.
Thus, GCF of Fractions is 8/119368.Finally, GCF of Fractions for 4816/344, 5352/1388 is 8/119368.