GCF of 2338/756, 8662/6478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2338/756, 8662/6478 i.e 2/2448684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2338/756, 8662/6478.
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 2338/756,8662/6478?
Given fractions are 2338/756,8662/6478
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 2338/756,8662/6478, numerators are 2338,8662
Denominators are 756,6478
The GCF of 2338,8662 is 2 .
LCM of 756,6478 is 2448684.
The greatest common factor of 2338/756,8662/6478 = [GCF of 2338,8662]/[LCM of 756,6478]= 2/2448684
Therefore, the GCF of 2338/756,8662/6478 is 2/2448684.
To find the highest common factor of 2338,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 2338,8662 is 2.
Lets's calculate GCF of 2338,8662
| 2 | 2338, 8662 |
| 1169, 4331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2338,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 2338
:1,2,7,14,167,334,1169,2338
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 2338,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,8662 is 2.
Lets's calculate LCM of 756,6478
| 2 | 756, 6478 |
| 378, 3239 |
∴ So the LCM of the given numbers is 2 x 378 x 3239 = 2448684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2448684
Therefore, the GCF of Fractions 2338/756,8662/6478 is 2/2448684
Least Common Multiple of 756,6478 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 756,6478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6478) x common factors =2 x 1 = 2
LCM(756,6478) = ( 756 × 6478 ) / 2
LCM(756,6478) = 4897368 / 2
LCM(756,6478) = 2448684
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FAQs on GCF of Fractions of 2338/756, 8662/6478
1. What is the HCF of 2338,8662?
The HCF of 2338,8662 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 2338/756, 8662/6478?
Answer: GCF of Numerators as per given numbers 2338/756, 8662/6478 is
GCF of Numerators i.e. for 2338,8662 is 2
LCM of denominators i.e. for 756,6478 is 2448684.
Thus, GCF of Fractions is 2/2448684.Finally, GCF of Fractions for 2338/756, 8662/6478 is 2/2448684.