GCF of 4852/862, 8362/7628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4852/862, 8362/7628 i.e 2/3287668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4852/862, 8362/7628.
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 4852/862,8362/7628?
Given fractions are 4852/862,8362/7628
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 4852/862,8362/7628, numerators are 4852,8362
Denominators are 862,7628
The GCF of 4852,8362 is 2 .
LCM of 862,7628 is 3287668.
The greatest common factor of 4852/862,8362/7628 = [GCF of 4852,8362]/[LCM of 862,7628]= 2/3287668
Therefore, the GCF of 4852/862,8362/7628 is 2/3287668.
To find the highest common factor of 4852,8362, we have to find the factors of both numbers and list the highest common factor.
The factors of 4852 are 1, 2, 4, 1213, 2426, 4852
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The HCF of 4852,8362 is 2.
Lets's calculate GCF of 4852,8362
| 2 | 4852, 8362 |
| 2426, 4181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4852,8362 By Matching Biggest Common Factor Method
Now, list down the factors of 4852
:1,2,4,1213,2426,4852
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Greatest Common Factor
We found the factors 4852,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 4852,8362 is 2.
Lets's calculate LCM of 862,7628
| 2 | 862, 7628 |
| 431, 3814 |
∴ So the LCM of the given numbers is 2 x 431 x 3814 = 3287668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3287668
Therefore, the GCF of Fractions 4852/862,8362/7628 is 2/3287668
Least Common Multiple of 862,7628 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 862,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,7628) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,7628) x common factors =2 x 1 = 2
LCM(862,7628) = ( 862 × 7628 ) / 2
LCM(862,7628) = 6575336 / 2
LCM(862,7628) = 3287668
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FAQs on GCF of Fractions of 4852/862, 8362/7628
1. What is the HCF of 4852,8362?
The HCF of 4852,8362 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 4852/862, 8362/7628?
Answer: GCF of Numerators as per given numbers 4852/862, 8362/7628 is
GCF of Numerators i.e. for 4852,8362 is 2
LCM of denominators i.e. for 862,7628 is 3287668.
Thus, GCF of Fractions is 2/3287668.Finally, GCF of Fractions for 4852/862, 8362/7628 is 2/3287668.