GCF of 7095/764, 5884/8204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7095/764, 5884/8204 i.e 1/1566964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7095/764, 5884/8204.
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 7095/764,5884/8204?
Given fractions are 7095/764,5884/8204
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 7095/764,5884/8204, numerators are 7095,5884
Denominators are 764,8204
The GCF of 7095,5884 is 1 .
LCM of 764,8204 is 1566964.
The greatest common factor of 7095/764,5884/8204 = [GCF of 7095,5884]/[LCM of 764,8204]= 1/1566964
Therefore, the GCF of 7095/764,5884/8204 is 1/1566964.
To find the highest common factor of 7095,5884, we have to find the factors of both numbers and list the highest common factor.
The factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
The factors of 5884 are 1, 2, 4, 1471, 2942, 5884
The HCF of 7095,5884 is 1.
Lets's calculate GCF of 7095,5884
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7095,5884 By Matching Biggest Common Factor Method
Now, list down the factors of 7095
:1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Now, list down the factors of 5884
:1,2,4,1471,2942,5884
Greatest Common Factor
We found the factors 7095,5884 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,5884 is 1.
Lets's calculate LCM of 764,8204
| 2 | 764, 8204 |
| 2 | 382, 4102 |
| 191, 2051 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 2051 = 1566964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1566964
Therefore, the GCF of Fractions 7095/764,5884/8204 is 1/1566964
Least Common Multiple of 764,8204 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 764,8204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,8204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,8204) x common factors =4 x 1 = 4
LCM(764,8204) = ( 764 × 8204 ) / 4
LCM(764,8204) = 6267856 / 4
LCM(764,8204) = 1566964
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FAQs on GCF of Fractions of 7095/764, 5884/8204
1. What is the HCF of 7095,5884?
The HCF of 7095,5884 is 1
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 7095/764, 5884/8204?
Answer: GCF of Numerators as per given numbers 7095/764, 5884/8204 is
GCF of Numerators i.e. for 7095,5884 is 1
LCM of denominators i.e. for 764,8204 is 1566964.
Thus, GCF of Fractions is 1/1566964.Finally, GCF of Fractions for 7095/764, 5884/8204 is 1/1566964.