GCF of 7160/108, 6248/1623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7160/108, 6248/1623 i.e 8/58428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7160/108, 6248/1623.
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 7160/108,6248/1623?
Given fractions are 7160/108,6248/1623
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 7160/108,6248/1623, numerators are 7160,6248
Denominators are 108,1623
The GCF of 7160,6248 is 8 .
LCM of 108,1623 is 58428.
The greatest common factor of 7160/108,6248/1623 = [GCF of 7160,6248]/[LCM of 108,1623]= 8/58428
Therefore, the GCF of 7160/108,6248/1623 is 8/58428.
To find the highest common factor of 7160,6248, we have to find the factors of both numbers and list the highest common factor.
The factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160
The factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248
The HCF of 7160,6248 is 8.
Lets's calculate GCF of 7160,6248
| 2 | 7160, 6248 |
| 2 | 3580, 3124 |
| 2 | 1790, 1562 |
| 895, 781 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7160,6248 By Matching Biggest Common Factor Method
Now, list down the factors of 7160
:1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160
Now, list down the factors of 6248
:1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248
Greatest Common Factor
We found the factors 7160,6248 . The biggest common factor number is the GCF number.
So the greatest common factor 7160,6248 is 8.
Lets's calculate LCM of 108,1623
| 3 | 108, 1623 |
| 36, 541 |
∴ So the LCM of the given numbers is 3 x 36 x 541 = 58428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/58428
Therefore, the GCF of Fractions 7160/108,6248/1623 is 8/58428
Least Common Multiple of 108,1623 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 108,1623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,1623) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(108,1623) x common factors =3 x 1 = 3
LCM(108,1623) = ( 108 × 1623 ) / 3
LCM(108,1623) = 175284 / 3
LCM(108,1623) = 58428
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FAQs on GCF of Fractions of 7160/108, 6248/1623
1. What is the HCF of 7160,6248?
The HCF of 7160,6248 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 7160/108, 6248/1623?
Answer: GCF of Numerators as per given numbers 7160/108, 6248/1623 is
GCF of Numerators i.e. for 7160,6248 is 8
LCM of denominators i.e. for 108,1623 is 58428.
Thus, GCF of Fractions is 8/58428.Finally, GCF of Fractions for 7160/108, 6248/1623 is 8/58428.