GCF of 8852/667, 9782/8078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8852/667, 9782/8078 i.e 2/5388026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8852/667, 9782/8078.
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 8852/667,9782/8078?
Given fractions are 8852/667,9782/8078
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 8852/667,9782/8078, numerators are 8852,9782
Denominators are 667,8078
The GCF of 8852,9782 is 2 .
LCM of 667,8078 is 5388026.
The greatest common factor of 8852/667,9782/8078 = [GCF of 8852,9782]/[LCM of 667,8078]= 2/5388026
Therefore, the GCF of 8852/667,9782/8078 is 2/5388026.
To find the highest common factor of 8852,9782, we have to find the factors of both numbers and list the highest common factor.
The factors of 8852 are 1, 2, 4, 2213, 4426, 8852
The factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782
The HCF of 8852,9782 is 2.
Lets's calculate GCF of 8852,9782
| 2 | 8852, 9782 |
| 4426, 4891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8852,9782 By Matching Biggest Common Factor Method
Now, list down the factors of 8852
:1,2,4,2213,4426,8852
Now, list down the factors of 9782
:1,2,67,73,134,146,4891,9782
Greatest Common Factor
We found the factors 8852,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,9782 is 2.
Lets's calculate LCM of 667,8078
Given numbers has no common factors except 1. So, there LCM is their product i.e 5388026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5388026
Therefore, the GCF of Fractions 8852/667,9782/8078 is 2/5388026
Least Common Multiple of 667,8078 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 667,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,8078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,8078) x common factors =1 x 1 = 1
LCM(667,8078) = ( 667 × 8078 ) / 1
LCM(667,8078) = 5388026 / 1
LCM(667,8078) = 5388026
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FAQs on GCF of Fractions of 8852/667, 9782/8078
1. What is the HCF of 8852,9782?
The HCF of 8852,9782 is 2
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 8852/667, 9782/8078?
Answer: GCF of Numerators as per given numbers 8852/667, 9782/8078 is
GCF of Numerators i.e. for 8852,9782 is 2
LCM of denominators i.e. for 667,8078 is 5388026.
Thus, GCF of Fractions is 2/5388026.Finally, GCF of Fractions for 8852/667, 9782/8078 is 2/5388026.