GCF of 7727/825, 5812/3271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7727/825, 5812/3271 i.e 1/2698575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7727/825, 5812/3271.
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 7727/825,5812/3271?
Given fractions are 7727/825,5812/3271
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 7727/825,5812/3271, numerators are 7727,5812
Denominators are 825,3271
The GCF of 7727,5812 is 1 .
LCM of 825,3271 is 2698575.
The greatest common factor of 7727/825,5812/3271 = [GCF of 7727,5812]/[LCM of 825,3271]= 1/2698575
Therefore, the GCF of 7727/825,5812/3271 is 1/2698575.
To find the highest common factor of 7727,5812, we have to find the factors of both numbers and list the highest common factor.
The factors of 7727 are 1, 7727
The factors of 5812 are 1, 2, 4, 1453, 2906, 5812
The HCF of 7727,5812 is 1.
Lets's calculate GCF of 7727,5812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7727,5812 By Matching Biggest Common Factor Method
Now, list down the factors of 7727
:1,7727
Now, list down the factors of 5812
:1,2,4,1453,2906,5812
Greatest Common Factor
We found the factors 7727,5812 . The biggest common factor number is the GCF number.
So the greatest common factor 7727,5812 is 1.
Lets's calculate LCM of 825,3271
Given numbers has no common factors except 1. So, there LCM is their product i.e 2698575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2698575
Therefore, the GCF of Fractions 7727/825,5812/3271 is 1/2698575
Least Common Multiple of 825,3271 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 825,3271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,3271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,3271) x common factors =1 x 1 = 1
LCM(825,3271) = ( 825 × 3271 ) / 1
LCM(825,3271) = 2698575 / 1
LCM(825,3271) = 2698575
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FAQs on GCF of Fractions of 7727/825, 5812/3271
1. What is the HCF of 7727,5812?
The HCF of 7727,5812 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 7727/825, 5812/3271?
Answer: GCF of Numerators as per given numbers 7727/825, 5812/3271 is
GCF of Numerators i.e. for 7727,5812 is 1
LCM of denominators i.e. for 825,3271 is 2698575.
Thus, GCF of Fractions is 1/2698575.Finally, GCF of Fractions for 7727/825, 5812/3271 is 1/2698575.