Use our free GCF of Fractions Calculator tool to compute the GCF of 7639/882, 6408/5424 i.e 1/797328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7639/882, 6408/5424.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7639/882,6408/5424
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 7639/882,6408/5424, numerators are 7639,6408
Denominators are 882,5424
The GCF of 7639,6408 is 1 .
LCM of 882,5424 is 797328.
The greatest common factor of 7639/882,6408/5424 = [GCF of 7639,6408]/[LCM of 882,5424]= 1/797328
Therefore, the GCF of 7639/882,6408/5424 is 1/797328.
To find the highest common factor of 7639,6408, we have to find the factors of both numbers and list the highest common factor.
The factors of 7639 are 1, 7639
The factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408
The HCF of 7639,6408 is 1.
Lets's calculate GCF of 7639,6408
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7639
:1,7639
Now, list down the factors of 6408
:1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408
Greatest Common Factor
We found the factors 7639,6408 . The biggest common factor number is the GCF number.
So the greatest common factor 7639,6408 is 1.
Lets's calculate LCM of 882,5424
2 | 882, 5424 |
3 | 441, 2712 |
147, 904 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 904 = 797328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/797328
Therefore, the GCF of Fractions 7639/882,6408/5424 is 1/797328
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 882,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,5424) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(882,5424) x common factors =6 x 1 = 6
LCM(882,5424) = ( 882 × 5424 ) / 6
LCM(882,5424) = 4783968 / 6
LCM(882,5424) = 797328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7639,6408?
The HCF of 7639,6408 is 1
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 7639/882, 6408/5424?
Answer: GCF of Numerators as per given numbers 7639/882, 6408/5424 is
GCF of Numerators i.e. for 7639,6408 is 1
LCM of denominators i.e. for 882,5424 is 797328.
Thus, GCF of Fractions is 1/797328.Finally, GCF of Fractions for 7639/882, 6408/5424 is 1/797328.