Use our free GCF of Fractions Calculator tool to compute the GCF of 7780/946, 2369/377 i.e 1/356642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7780/946, 2369/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7780/946,2369/377
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 7780/946,2369/377, numerators are 7780,2369
Denominators are 946,377
The GCF of 7780,2369 is 1 .
LCM of 946,377 is 356642.
The greatest common factor of 7780/946,2369/377 = [GCF of 7780,2369]/[LCM of 946,377]= 1/356642
Therefore, the GCF of 7780/946,2369/377 is 1/356642.
To find the highest common factor of 7780,2369, we have to find the factors of both numbers and list the highest common factor.
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The factors of 2369 are 1, 23, 103, 2369
The HCF of 7780,2369 is 1.
Lets's calculate GCF of 7780,2369
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Now, list down the factors of 2369
:1,23,103,2369
Greatest Common Factor
We found the factors 7780,2369 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,2369 is 1.
Lets's calculate LCM of 946,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 356642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356642
Therefore, the GCF of Fractions 7780/946,2369/377 is 1/356642
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 946,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,377) x common factors =1 x 1 = 1
LCM(946,377) = ( 946 × 377 ) / 1
LCM(946,377) = 356642 / 1
LCM(946,377) = 356642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7780,2369?
The HCF of 7780,2369 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 7780/946, 2369/377?
Answer: GCF of Numerators as per given numbers 7780/946, 2369/377 is
GCF of Numerators i.e. for 7780,2369 is 1
LCM of denominators i.e. for 946,377 is 356642.
Thus, GCF of Fractions is 1/356642.Finally, GCF of Fractions for 7780/946, 2369/377 is 1/356642.