GCF of 8151/424, 8607/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8151/424, 8607/411 i.e 57/174264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8151/424, 8607/411.
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 8151/424,8607/411?
Given fractions are 8151/424,8607/411
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 8151/424,8607/411, numerators are 8151,8607
Denominators are 424,411
The GCF of 8151,8607 is 57 .
LCM of 424,411 is 174264.
The greatest common factor of 8151/424,8607/411 = [GCF of 8151,8607]/[LCM of 424,411]= 57/174264
Therefore, the GCF of 8151/424,8607/411 is 57/174264.
To find the highest common factor of 8151,8607, we have to find the factors of both numbers and list the highest common factor.
The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607
The HCF of 8151,8607 is 57.
Lets's calculate GCF of 8151,8607
| 3 | 8151, 8607 |
| 19 | 2717, 2869 |
| 143, 151 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 8151,8607 By Matching Biggest Common Factor Method
Now, list down the factors of 8151
:1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Now, list down the factors of 8607
:1,3,19,57,151,453,2869,8607
Greatest Common Factor
We found the factors 8151,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 8151,8607 is 57.
Lets's calculate LCM of 424,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 174264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/174264
Therefore, the GCF of Fractions 8151/424,8607/411 is 57/174264
Least Common Multiple of 424,411 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 424,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,411) x common factors =1 x 1 = 1
LCM(424,411) = ( 424 × 411 ) / 1
LCM(424,411) = 174264 / 1
LCM(424,411) = 174264
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FAQs on GCF of Fractions of 8151/424, 8607/411
1. What is the HCF of 8151,8607?
The HCF of 8151,8607 is 57
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 8151/424, 8607/411?
Answer: GCF of Numerators as per given numbers 8151/424, 8607/411 is
GCF of Numerators i.e. for 8151,8607 is 57
LCM of denominators i.e. for 424,411 is 174264.
Thus, GCF of Fractions is 57/174264.Finally, GCF of Fractions for 8151/424, 8607/411 is 57/174264.