GCF of 7677/751, 3032/7214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7677/751, 3032/7214 i.e 1/5417714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7677/751, 3032/7214.
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 7677/751,3032/7214?
Given fractions are 7677/751,3032/7214
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 7677/751,3032/7214, numerators are 7677,3032
Denominators are 751,7214
The GCF of 7677,3032 is 1 .
LCM of 751,7214 is 5417714.
The greatest common factor of 7677/751,3032/7214 = [GCF of 7677,3032]/[LCM of 751,7214]= 1/5417714
Therefore, the GCF of 7677/751,3032/7214 is 1/5417714.
To find the highest common factor of 7677,3032, we have to find the factors of both numbers and list the highest common factor.
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032
The HCF of 7677,3032 is 1.
Lets's calculate GCF of 7677,3032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7677,3032 By Matching Biggest Common Factor Method
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Now, list down the factors of 3032
:1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 7677,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 7677,3032 is 1.
Lets's calculate LCM of 751,7214
Given numbers has no common factors except 1. So, there LCM is their product i.e 5417714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5417714
Therefore, the GCF of Fractions 7677/751,3032/7214 is 1/5417714
Least Common Multiple of 751,7214 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 751,7214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,7214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,7214) x common factors =1 x 1 = 1
LCM(751,7214) = ( 751 × 7214 ) / 1
LCM(751,7214) = 5417714 / 1
LCM(751,7214) = 5417714
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7677/751, 3032/7214
1. What is the HCF of 7677,3032?
The HCF of 7677,3032 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 7677/751, 3032/7214?
Answer: GCF of Numerators as per given numbers 7677/751, 3032/7214 is
GCF of Numerators i.e. for 7677,3032 is 1
LCM of denominators i.e. for 751,7214 is 5417714.
Thus, GCF of Fractions is 1/5417714.Finally, GCF of Fractions for 7677/751, 3032/7214 is 1/5417714.