Use our free GCF of Fractions Calculator tool to compute the GCF of 7680/958, 8014/2536 i.e 2/1214744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7680/958, 8014/2536.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7680/958,8014/2536
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 7680/958,8014/2536, numerators are 7680,8014
Denominators are 958,2536
The GCF of 7680,8014 is 2 .
LCM of 958,2536 is 1214744.
The greatest common factor of 7680/958,8014/2536 = [GCF of 7680,8014]/[LCM of 958,2536]= 2/1214744
Therefore, the GCF of 7680/958,8014/2536 is 2/1214744.
To find the highest common factor of 7680,8014, we have to find the factors of both numbers and list the highest common factor.
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The factors of 8014 are 1, 2, 4007, 8014
The HCF of 7680,8014 is 2.
Lets's calculate GCF of 7680,8014
2 | 7680, 8014 |
3840, 4007 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Now, list down the factors of 8014
:1,2,4007,8014
Greatest Common Factor
We found the factors 7680,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 7680,8014 is 2.
Lets's calculate LCM of 958,2536
2 | 958, 2536 |
479, 1268 |
∴ So the LCM of the given numbers is 2 x 479 x 1268 = 1214744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1214744
Therefore, the GCF of Fractions 7680/958,8014/2536 is 2/1214744
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 958,2536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,2536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,2536) x common factors =2 x 1 = 2
LCM(958,2536) = ( 958 × 2536 ) / 2
LCM(958,2536) = 2429488 / 2
LCM(958,2536) = 1214744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7680,8014?
The HCF of 7680,8014 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 7680/958, 8014/2536?
Answer: GCF of Numerators as per given numbers 7680/958, 8014/2536 is
GCF of Numerators i.e. for 7680,8014 is 2
LCM of denominators i.e. for 958,2536 is 1214744.
Thus, GCF of Fractions is 2/1214744.Finally, GCF of Fractions for 7680/958, 8014/2536 is 2/1214744.