GCF of 6254/767, 2360/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6254/767, 2360/2824 i.e 118/2166008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6254/767, 2360/2824.
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 6254/767,2360/2824?
Given fractions are 6254/767,2360/2824
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 6254/767,2360/2824, numerators are 6254,2360
Denominators are 767,2824
The GCF of 6254,2360 is 118 .
LCM of 767,2824 is 2166008.
The greatest common factor of 6254/767,2360/2824 = [GCF of 6254,2360]/[LCM of 767,2824]= 118/2166008
Therefore, the GCF of 6254/767,2360/2824 is 118/2166008.
To find the highest common factor of 6254,2360, we have to find the factors of both numbers and list the highest common factor.
The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254
The factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
The HCF of 6254,2360 is 118.
Lets's calculate GCF of 6254,2360
| 2 | 6254, 2360 |
| 59 | 3127, 1180 |
| 53, 20 |
∴ So the GCF of the given numbers is 2 x 59 = 118
Greatest Common Factor of 6254,2360 By Matching Biggest Common Factor Method
Now, list down the factors of 6254
:1,2,53,59,106,118,3127,6254
Now, list down the factors of 2360
:1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors 6254,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 6254,2360 is 118.
Lets's calculate LCM of 767,2824
Given numbers has no common factors except 1. So, there LCM is their product i.e 2166008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/2166008
Therefore, the GCF of Fractions 6254/767,2360/2824 is 118/2166008
Least Common Multiple of 767,2824 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 767,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,2824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,2824) x common factors =1 x 1 = 1
LCM(767,2824) = ( 767 × 2824 ) / 1
LCM(767,2824) = 2166008 / 1
LCM(767,2824) = 2166008
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6254/767, 2360/2824
1. What is the HCF of 6254,2360?
The HCF of 6254,2360 is 118
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 6254/767, 2360/2824?
Answer: GCF of Numerators as per given numbers 6254/767, 2360/2824 is
GCF of Numerators i.e. for 6254,2360 is 118
LCM of denominators i.e. for 767,2824 is 2166008.
Thus, GCF of Fractions is 118/2166008.Finally, GCF of Fractions for 6254/767, 2360/2824 is 118/2166008.