GCF of 9595/125, 1292/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9595/125, 1292/126 i.e 19/15750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9595/125, 1292/126.
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 9595/125,1292/126?
Given fractions are 9595/125,1292/126
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 9595/125,1292/126, numerators are 9595,1292
Denominators are 125,126
The GCF of 9595,1292 is 19 .
LCM of 125,126 is 15750.
The greatest common factor of 9595/125,1292/126 = [GCF of 9595,1292]/[LCM of 125,126]= 19/15750
Therefore, the GCF of 9595/125,1292/126 is 19/15750.
To find the highest common factor of 9595,1292, we have to find the factors of both numbers and list the highest common factor.
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292
The HCF of 9595,1292 is 19.
Lets's calculate GCF of 9595,1292
| 19 | 9595, 1292 |
| 505, 68 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9595,1292 By Matching Biggest Common Factor Method
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Now, list down the factors of 1292
:1,2,4,17,19,34,38,68,76,323,646,1292
Greatest Common Factor
We found the factors 9595,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,1292 is 19.
Lets's calculate LCM of 125,126
Given numbers has no common factors except 1. So, there LCM is their product i.e 15750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/15750
Therefore, the GCF of Fractions 9595/125,1292/126 is 19/15750
Least Common Multiple of 125,126 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 125,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,126) x common factors =1 x 1 = 1
LCM(125,126) = ( 125 × 126 ) / 1
LCM(125,126) = 15750 / 1
LCM(125,126) = 15750
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FAQs on GCF of Fractions of 9595/125, 1292/126
1. What is the HCF of 9595,1292?
The HCF of 9595,1292 is 19
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 9595/125, 1292/126?
Answer: GCF of Numerators as per given numbers 9595/125, 1292/126 is
GCF of Numerators i.e. for 9595,1292 is 19
LCM of denominators i.e. for 125,126 is 15750.
Thus, GCF of Fractions is 19/15750.Finally, GCF of Fractions for 9595/125, 1292/126 is 19/15750.