GCF of 8408/962, 1254/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8408/962, 1254/764 i.e 2/367484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8408/962, 1254/764.
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 8408/962,1254/764?
Given fractions are 8408/962,1254/764
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 8408/962,1254/764, numerators are 8408,1254
Denominators are 962,764
The GCF of 8408,1254 is 2 .
LCM of 962,764 is 367484.
The greatest common factor of 8408/962,1254/764 = [GCF of 8408,1254]/[LCM of 962,764]= 2/367484
Therefore, the GCF of 8408/962,1254/764 is 2/367484.
To find the highest common factor of 8408,1254, we have to find the factors of both numbers and list the highest common factor.
The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The HCF of 8408,1254 is 2.
Lets's calculate GCF of 8408,1254
| 2 | 8408, 1254 |
| 4204, 627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8408,1254 By Matching Biggest Common Factor Method
Now, list down the factors of 8408
:1,2,4,8,1051,2102,4204,8408
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 8408,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 8408,1254 is 2.
Lets's calculate LCM of 962,764
| 2 | 962, 764 |
| 481, 382 |
∴ So the LCM of the given numbers is 2 x 481 x 382 = 367484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/367484
Therefore, the GCF of Fractions 8408/962,1254/764 is 2/367484
Least Common Multiple of 962,764 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 962,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,764) x common factors =2 x 1 = 2
LCM(962,764) = ( 962 × 764 ) / 2
LCM(962,764) = 734968 / 2
LCM(962,764) = 367484
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FAQs on GCF of Fractions of 8408/962, 1254/764
1. What is the HCF of 8408,1254?
The HCF of 8408,1254 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 8408/962, 1254/764?
Answer: GCF of Numerators as per given numbers 8408/962, 1254/764 is
GCF of Numerators i.e. for 8408,1254 is 2
LCM of denominators i.e. for 962,764 is 367484.
Thus, GCF of Fractions is 2/367484.Finally, GCF of Fractions for 8408/962, 1254/764 is 2/367484.