GCF of 4618/782, 7684/6958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4618/782, 7684/6958 i.e 2/2720578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4618/782, 7684/6958.
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 4618/782,7684/6958?
Given fractions are 4618/782,7684/6958
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 4618/782,7684/6958, numerators are 4618,7684
Denominators are 782,6958
The GCF of 4618,7684 is 2 .
LCM of 782,6958 is 2720578.
The greatest common factor of 4618/782,7684/6958 = [GCF of 4618,7684]/[LCM of 782,6958]= 2/2720578
Therefore, the GCF of 4618/782,7684/6958 is 2/2720578.
To find the highest common factor of 4618,7684, we have to find the factors of both numbers and list the highest common factor.
The factors of 4618 are 1, 2, 2309, 4618
The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
The HCF of 4618,7684 is 2.
Lets's calculate GCF of 4618,7684
| 2 | 4618, 7684 |
| 2309, 3842 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4618,7684 By Matching Biggest Common Factor Method
Now, list down the factors of 4618
:1,2,2309,4618
Now, list down the factors of 7684
:1,2,4,17,34,68,113,226,452,1921,3842,7684
Greatest Common Factor
We found the factors 4618,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 4618,7684 is 2.
Lets's calculate LCM of 782,6958
| 2 | 782, 6958 |
| 391, 3479 |
∴ So the LCM of the given numbers is 2 x 391 x 3479 = 2720578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2720578
Therefore, the GCF of Fractions 4618/782,7684/6958 is 2/2720578
Least Common Multiple of 782,6958 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 782,6958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,6958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,6958) x common factors =2 x 1 = 2
LCM(782,6958) = ( 782 × 6958 ) / 2
LCM(782,6958) = 5441156 / 2
LCM(782,6958) = 2720578
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4618/782, 7684/6958
1. What is the HCF of 4618,7684?
The HCF of 4618,7684 is 2
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 4618/782, 7684/6958?
Answer: GCF of Numerators as per given numbers 4618/782, 7684/6958 is
GCF of Numerators i.e. for 4618,7684 is 2
LCM of denominators i.e. for 782,6958 is 2720578.
Thus, GCF of Fractions is 2/2720578.Finally, GCF of Fractions for 4618/782, 7684/6958 is 2/2720578.