GCF of 8523/378, 6117/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8523/378, 6117/719 i.e 3/271782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/378, 6117/719.
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 8523/378,6117/719?
Given fractions are 8523/378,6117/719
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 8523/378,6117/719, numerators are 8523,6117
Denominators are 378,719
The GCF of 8523,6117 is 3 .
LCM of 378,719 is 271782.
The greatest common factor of 8523/378,6117/719 = [GCF of 8523,6117]/[LCM of 378,719]= 3/271782
Therefore, the GCF of 8523/378,6117/719 is 3/271782.
To find the highest common factor of 8523,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 8523,6117 is 3.
Lets's calculate GCF of 8523,6117
| 3 | 8523, 6117 |
| 2841, 2039 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8523,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 8523,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,6117 is 3.
Lets's calculate LCM of 378,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 271782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/271782
Therefore, the GCF of Fractions 8523/378,6117/719 is 3/271782
Least Common Multiple of 378,719 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 378,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,719) x common factors =1 x 1 = 1
LCM(378,719) = ( 378 × 719 ) / 1
LCM(378,719) = 271782 / 1
LCM(378,719) = 271782
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FAQs on GCF of Fractions of 8523/378, 6117/719
1. What is the HCF of 8523,6117?
The HCF of 8523,6117 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 8523/378, 6117/719?
Answer: GCF of Numerators as per given numbers 8523/378, 6117/719 is
GCF of Numerators i.e. for 8523,6117 is 3
LCM of denominators i.e. for 378,719 is 271782.
Thus, GCF of Fractions is 3/271782.Finally, GCF of Fractions for 8523/378, 6117/719 is 3/271782.