GCF of 5075/108, 6119/7900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5075/108, 6119/7900 i.e 29/213300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5075/108, 6119/7900.
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 5075/108,6119/7900?
Given fractions are 5075/108,6119/7900
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 5075/108,6119/7900, numerators are 5075,6119
Denominators are 108,7900
The GCF of 5075,6119 is 29 .
LCM of 108,7900 is 213300.
The greatest common factor of 5075/108,6119/7900 = [GCF of 5075,6119]/[LCM of 108,7900]= 29/213300
Therefore, the GCF of 5075/108,6119/7900 is 29/213300.
To find the highest common factor of 5075,6119, we have to find the factors of both numbers and list the highest common factor.
The factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075
The factors of 6119 are 1, 29, 211, 6119
The HCF of 5075,6119 is 29.
Lets's calculate GCF of 5075,6119
| 29 | 5075, 6119 |
| 175, 211 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 5075,6119 By Matching Biggest Common Factor Method
Now, list down the factors of 5075
:1,5,7,25,29,35,145,175,203,725,1015,5075
Now, list down the factors of 6119
:1,29,211,6119
Greatest Common Factor
We found the factors 5075,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 5075,6119 is 29.
Lets's calculate LCM of 108,7900
| 2 | 108, 7900 |
| 2 | 54, 3950 |
| 27, 1975 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 1975 = 213300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/213300
Therefore, the GCF of Fractions 5075/108,6119/7900 is 29/213300
Least Common Multiple of 108,7900 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 108,7900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,7900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,7900) x common factors =4 x 1 = 4
LCM(108,7900) = ( 108 × 7900 ) / 4
LCM(108,7900) = 853200 / 4
LCM(108,7900) = 213300
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FAQs on GCF of Fractions of 5075/108, 6119/7900
1. What is the HCF of 5075,6119?
The HCF of 5075,6119 is 29
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 5075/108, 6119/7900?
Answer: GCF of Numerators as per given numbers 5075/108, 6119/7900 is
GCF of Numerators i.e. for 5075,6119 is 29
LCM of denominators i.e. for 108,7900 is 213300.
Thus, GCF of Fractions is 29/213300.Finally, GCF of Fractions for 5075/108, 6119/7900 is 29/213300.