GCF of 9275/836, 2014/6125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9275/836, 2014/6125 i.e 53/5120500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9275/836, 2014/6125.
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 9275/836,2014/6125?
Given fractions are 9275/836,2014/6125
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 9275/836,2014/6125, numerators are 9275,2014
Denominators are 836,6125
The GCF of 9275,2014 is 53 .
LCM of 836,6125 is 5120500.
The greatest common factor of 9275/836,2014/6125 = [GCF of 9275,2014]/[LCM of 836,6125]= 53/5120500
Therefore, the GCF of 9275/836,2014/6125 is 53/5120500.
To find the highest common factor of 9275,2014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014
The HCF of 9275,2014 is 53.
Lets's calculate GCF of 9275,2014
| 53 | 9275, 2014 |
| 175, 38 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 9275,2014 By Matching Biggest Common Factor Method
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Now, list down the factors of 2014
:1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 9275,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 9275,2014 is 53.
Lets's calculate LCM of 836,6125
Given numbers has no common factors except 1. So, there LCM is their product i.e 5120500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/5120500
Therefore, the GCF of Fractions 9275/836,2014/6125 is 53/5120500
Least Common Multiple of 836,6125 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 836,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,6125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,6125) x common factors =1 x 1 = 1
LCM(836,6125) = ( 836 × 6125 ) / 1
LCM(836,6125) = 5120500 / 1
LCM(836,6125) = 5120500
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FAQs on GCF of Fractions of 9275/836, 2014/6125
1. What is the HCF of 9275,2014?
The HCF of 9275,2014 is 53
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 9275/836, 2014/6125?
Answer: GCF of Numerators as per given numbers 9275/836, 2014/6125 is
GCF of Numerators i.e. for 9275,2014 is 53
LCM of denominators i.e. for 836,6125 is 5120500.
Thus, GCF of Fractions is 53/5120500.Finally, GCF of Fractions for 9275/836, 2014/6125 is 53/5120500.