GCF of 6992/348, 5208/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6992/348, 5208/384 i.e 8/11136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6992/348, 5208/384.
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 6992/348,5208/384?
Given fractions are 6992/348,5208/384
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 6992/348,5208/384, numerators are 6992,5208
Denominators are 348,384
The GCF of 6992,5208 is 8 .
LCM of 348,384 is 11136.
The greatest common factor of 6992/348,5208/384 = [GCF of 6992,5208]/[LCM of 348,384]= 8/11136
Therefore, the GCF of 6992/348,5208/384 is 8/11136.
To find the highest common factor of 6992,5208, we have to find the factors of both numbers and list the highest common factor.
The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208
The HCF of 6992,5208 is 8.
Lets's calculate GCF of 6992,5208
| 2 | 6992, 5208 |
| 2 | 3496, 2604 |
| 2 | 1748, 1302 |
| 874, 651 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6992,5208 By Matching Biggest Common Factor Method
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Now, list down the factors of 5208
:1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Greatest Common Factor
We found the factors 6992,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,5208 is 8.
Lets's calculate LCM of 348,384
| 2 | 348, 384 |
| 2 | 174, 192 |
| 3 | 87, 96 |
| 29, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 32 = 11136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/11136
Therefore, the GCF of Fractions 6992/348,5208/384 is 8/11136
Least Common Multiple of 348,384 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 348,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,384) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,384) x common factors =12 x 1 = 12
LCM(348,384) = ( 348 × 384 ) / 12
LCM(348,384) = 133632 / 12
LCM(348,384) = 11136
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FAQs on GCF of Fractions of 6992/348, 5208/384
1. What is the HCF of 6992,5208?
The HCF of 6992,5208 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 6992/348, 5208/384?
Answer: GCF of Numerators as per given numbers 6992/348, 5208/384 is
GCF of Numerators i.e. for 6992,5208 is 8
LCM of denominators i.e. for 348,384 is 11136.
Thus, GCF of Fractions is 8/11136.Finally, GCF of Fractions for 6992/348, 5208/384 is 8/11136.