GCF of 4380/695, 8627/4986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4380/695, 8627/4986 i.e 1/3465270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4380/695, 8627/4986.
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 4380/695,8627/4986?
Given fractions are 4380/695,8627/4986
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 4380/695,8627/4986, numerators are 4380,8627
Denominators are 695,4986
The GCF of 4380,8627 is 1 .
LCM of 695,4986 is 3465270.
The greatest common factor of 4380/695,8627/4986 = [GCF of 4380,8627]/[LCM of 695,4986]= 1/3465270
Therefore, the GCF of 4380/695,8627/4986 is 1/3465270.
To find the highest common factor of 4380,8627, we have to find the factors of both numbers and list the highest common factor.
The factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380
The factors of 8627 are 1, 8627
The HCF of 4380,8627 is 1.
Lets's calculate GCF of 4380,8627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4380,8627 By Matching Biggest Common Factor Method
Now, list down the factors of 4380
:1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Now, list down the factors of 8627
:1,8627
Greatest Common Factor
We found the factors 4380,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 4380,8627 is 1.
Lets's calculate LCM of 695,4986
Given numbers has no common factors except 1. So, there LCM is their product i.e 3465270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3465270
Therefore, the GCF of Fractions 4380/695,8627/4986 is 1/3465270
Least Common Multiple of 695,4986 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 695,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,4986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,4986) x common factors =1 x 1 = 1
LCM(695,4986) = ( 695 × 4986 ) / 1
LCM(695,4986) = 3465270 / 1
LCM(695,4986) = 3465270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4380/695, 8627/4986
1. What is the HCF of 4380,8627?
The HCF of 4380,8627 is 1
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 4380/695, 8627/4986?
Answer: GCF of Numerators as per given numbers 4380/695, 8627/4986 is
GCF of Numerators i.e. for 4380,8627 is 1
LCM of denominators i.e. for 695,4986 is 3465270.
Thus, GCF of Fractions is 1/3465270.Finally, GCF of Fractions for 4380/695, 8627/4986 is 1/3465270.