GCF of 7125/769, 8811/196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7125/769, 8811/196 i.e 3/150724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7125/769, 8811/196.
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 7125/769,8811/196?
Given fractions are 7125/769,8811/196
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 7125/769,8811/196, numerators are 7125,8811
Denominators are 769,196
The GCF of 7125,8811 is 3 .
LCM of 769,196 is 150724.
The greatest common factor of 7125/769,8811/196 = [GCF of 7125,8811]/[LCM of 769,196]= 3/150724
Therefore, the GCF of 7125/769,8811/196 is 3/150724.
To find the highest common factor of 7125,8811, we have to find the factors of both numbers and list the highest common factor.
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The factors of 8811 are 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811
The HCF of 7125,8811 is 3.
Lets's calculate GCF of 7125,8811
| 3 | 7125, 8811 |
| 2375, 2937 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7125,8811 By Matching Biggest Common Factor Method
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Now, list down the factors of 8811
:1,3,9,11,33,89,99,267,801,979,2937,8811
Greatest Common Factor
We found the factors 7125,8811 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,8811 is 3.
Lets's calculate LCM of 769,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 150724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/150724
Therefore, the GCF of Fractions 7125/769,8811/196 is 3/150724
Least Common Multiple of 769,196 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 769,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,196) x common factors =1 x 1 = 1
LCM(769,196) = ( 769 × 196 ) / 1
LCM(769,196) = 150724 / 1
LCM(769,196) = 150724
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FAQs on GCF of Fractions of 7125/769, 8811/196
1. What is the HCF of 7125,8811?
The HCF of 7125,8811 is 3
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 7125/769, 8811/196?
Answer: GCF of Numerators as per given numbers 7125/769, 8811/196 is
GCF of Numerators i.e. for 7125,8811 is 3
LCM of denominators i.e. for 769,196 is 150724.
Thus, GCF of Fractions is 3/150724.Finally, GCF of Fractions for 7125/769, 8811/196 is 3/150724.