GCF of 1027/634, 6516/3605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1027/634, 6516/3605 i.e 1/2285570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1027/634, 6516/3605.
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 1027/634,6516/3605?
Given fractions are 1027/634,6516/3605
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 1027/634,6516/3605, numerators are 1027,6516
Denominators are 634,3605
The GCF of 1027,6516 is 1 .
LCM of 634,3605 is 2285570.
The greatest common factor of 1027/634,6516/3605 = [GCF of 1027,6516]/[LCM of 634,3605]= 1/2285570
Therefore, the GCF of 1027/634,6516/3605 is 1/2285570.
To find the highest common factor of 1027,6516, we have to find the factors of both numbers and list the highest common factor.
The factors of 1027 are 1, 13, 79, 1027
The factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516
The HCF of 1027,6516 is 1.
Lets's calculate GCF of 1027,6516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1027,6516 By Matching Biggest Common Factor Method
Now, list down the factors of 1027
:1,13,79,1027
Now, list down the factors of 6516
:1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516
Greatest Common Factor
We found the factors 1027,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 1027,6516 is 1.
Lets's calculate LCM of 634,3605
Given numbers has no common factors except 1. So, there LCM is their product i.e 2285570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2285570
Therefore, the GCF of Fractions 1027/634,6516/3605 is 1/2285570
Least Common Multiple of 634,3605 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 634,3605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,3605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,3605) x common factors =1 x 1 = 1
LCM(634,3605) = ( 634 × 3605 ) / 1
LCM(634,3605) = 2285570 / 1
LCM(634,3605) = 2285570
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FAQs on GCF of Fractions of 1027/634, 6516/3605
1. What is the HCF of 1027,6516?
The HCF of 1027,6516 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 1027/634, 6516/3605?
Answer: GCF of Numerators as per given numbers 1027/634, 6516/3605 is
GCF of Numerators i.e. for 1027,6516 is 1
LCM of denominators i.e. for 634,3605 is 2285570.
Thus, GCF of Fractions is 1/2285570.Finally, GCF of Fractions for 1027/634, 6516/3605 is 1/2285570.