Use our free GCF of Fractions Calculator tool to compute the GCF of 77/620, 292/949, 620/853 i.e 1/501888140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/620, 292/949, 620/853.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/620,292/949,620/853
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 77/620,292/949,620/853, numerators are 77,292,620
Denominators are 620,949,853
The GCF of 77,292,620 is 1 .
LCM of 620,949,853 is 501888140.
The greatest common factor of 77/620,292/949,620/853 = [GCF of 77,292,620]/[LCM of 620,949,853]= 1/501888140
Therefore, the GCF of 77/620,292/949,620/853 is 1/501888140.
To find the highest common factor of 77,292,620, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The HCF of 77,292,620 is 1.
Lets's calculate GCF of 77,292,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 77,292,620 . The biggest common factor number is the GCF number.
So the greatest common factor 77,292,620 is 1.
Lets's calculate LCM of 620,949,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 501888140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501888140
Therefore, the GCF of Fractions 77/620,292/949,620/853 is 1/501888140
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 620,949,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,949,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,949,853) x common factors =1 x 1 = 1
LCM(620,949,853) = ( 620 × 949 × 853 ) / 1
LCM(620,949,853) = 501888140 / 1
LCM(620,949,853) = 501888140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,292,620?
The HCF of 77,292,620 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 77/620, 292/949, 620/853?
Answer: GCF of Numerators as per given numbers 77/620, 292/949, 620/853 is
GCF of Numerators i.e. for 77,292,620 is 1
LCM of denominators i.e. for 620,949,853 is 501888140.
Thus, GCF of Fractions is 1/501888140.Finally, GCF of Fractions for 77/620, 292/949, 620/853 is 1/501888140.