GCF of 2526/327, 8022/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2526/327, 8022/284 i.e 6/92868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2526/327, 8022/284.
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 2526/327,8022/284?
Given fractions are 2526/327,8022/284
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 2526/327,8022/284, numerators are 2526,8022
Denominators are 327,284
The GCF of 2526,8022 is 6 .
LCM of 327,284 is 92868.
The greatest common factor of 2526/327,8022/284 = [GCF of 2526,8022]/[LCM of 327,284]= 6/92868
Therefore, the GCF of 2526/327,8022/284 is 6/92868.
To find the highest common factor of 2526,8022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The HCF of 2526,8022 is 6.
Lets's calculate GCF of 2526,8022
| 2 | 2526, 8022 |
| 3 | 1263, 4011 |
| 421, 1337 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2526,8022 By Matching Biggest Common Factor Method
Now, list down the factors of 2526
:1,2,3,6,421,842,1263,2526
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Greatest Common Factor
We found the factors 2526,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 2526,8022 is 6.
Lets's calculate LCM of 327,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 92868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/92868
Therefore, the GCF of Fractions 2526/327,8022/284 is 6/92868
Least Common Multiple of 327,284 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 327,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,284) x common factors =1 x 1 = 1
LCM(327,284) = ( 327 × 284 ) / 1
LCM(327,284) = 92868 / 1
LCM(327,284) = 92868
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FAQs on GCF of Fractions of 2526/327, 8022/284
1. What is the HCF of 2526,8022?
The HCF of 2526,8022 is 6
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 2526/327, 8022/284?
Answer: GCF of Numerators as per given numbers 2526/327, 8022/284 is
GCF of Numerators i.e. for 2526,8022 is 6
LCM of denominators i.e. for 327,284 is 92868.
Thus, GCF of Fractions is 6/92868.Finally, GCF of Fractions for 2526/327, 8022/284 is 6/92868.