GCF of 452/508, 8654/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 452/508, 8654/867 i.e 2/440436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/508, 8654/867.
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 452/508,8654/867?
Given fractions are 452/508,8654/867
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 452/508,8654/867, numerators are 452,8654
Denominators are 508,867
The GCF of 452,8654 is 2 .
LCM of 508,867 is 440436.
The greatest common factor of 452/508,8654/867 = [GCF of 452,8654]/[LCM of 508,867]= 2/440436
Therefore, the GCF of 452/508,8654/867 is 2/440436.
To find the highest common factor of 452,8654, we have to find the factors of both numbers and list the highest common factor.
The factors of 452 are 1, 2, 4, 113, 226, 452
The factors of 8654 are 1, 2, 4327, 8654
The HCF of 452,8654 is 2.
Lets's calculate GCF of 452,8654
| 2 | 452, 8654 |
| 226, 4327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 452,8654 By Matching Biggest Common Factor Method
Now, list down the factors of 452
:1,2,4,113,226,452
Now, list down the factors of 8654
:1,2,4327,8654
Greatest Common Factor
We found the factors 452,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 452,8654 is 2.
Lets's calculate LCM of 508,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 440436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/440436
Therefore, the GCF of Fractions 452/508,8654/867 is 2/440436
Least Common Multiple of 508,867 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 508,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,867) x common factors =1 x 1 = 1
LCM(508,867) = ( 508 × 867 ) / 1
LCM(508,867) = 440436 / 1
LCM(508,867) = 440436
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FAQs on GCF of Fractions of 452/508, 8654/867
1. What is the HCF of 452,8654?
The HCF of 452,8654 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 452/508, 8654/867?
Answer: GCF of Numerators as per given numbers 452/508, 8654/867 is
GCF of Numerators i.e. for 452,8654 is 2
LCM of denominators i.e. for 508,867 is 440436.
Thus, GCF of Fractions is 2/440436.Finally, GCF of Fractions for 452/508, 8654/867 is 2/440436.