Use our free GCF of Fractions Calculator tool to compute the GCF of 6976/468, 1692/7137 i.e 4/28548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6976/468, 1692/7137.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6976/468,1692/7137
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 6976/468,1692/7137, numerators are 6976,1692
Denominators are 468,7137
The GCF of 6976,1692 is 4 .
LCM of 468,7137 is 28548.
The greatest common factor of 6976/468,1692/7137 = [GCF of 6976,1692]/[LCM of 468,7137]= 4/28548
Therefore, the GCF of 6976/468,1692/7137 is 4/28548.
To find the highest common factor of 6976,1692, we have to find the factors of both numbers and list the highest common factor.
The factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The HCF of 6976,1692 is 4.
Lets's calculate GCF of 6976,1692
2 | 6976, 1692 |
2 | 3488, 846 |
1744, 423 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 6976
:1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 6976,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 6976,1692 is 4.
Lets's calculate LCM of 468,7137
3 | 468, 7137 |
3 | 156, 2379 |
13 | 52, 793 |
4, 61 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 4 x 61 = 28548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28548
Therefore, the GCF of Fractions 6976/468,1692/7137 is 4/28548
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 468,7137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,7137) = 117
common factors(in case of two or more numbers have common factors) = 1
GCF(468,7137) x common factors =117 x 1 = 117
LCM(468,7137) = ( 468 × 7137 ) / 117
LCM(468,7137) = 3340116 / 117
LCM(468,7137) = 28548
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6976,1692?
The HCF of 6976,1692 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 6976/468, 1692/7137?
Answer: GCF of Numerators as per given numbers 6976/468, 1692/7137 is
GCF of Numerators i.e. for 6976,1692 is 4
LCM of denominators i.e. for 468,7137 is 28548.
Thus, GCF of Fractions is 4/28548.Finally, GCF of Fractions for 6976/468, 1692/7137 is 4/28548.