GCF of 4438/862, 6023/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4438/862, 6023/490 i.e 317/211190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4438/862, 6023/490.
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 4438/862,6023/490?
Given fractions are 4438/862,6023/490
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 4438/862,6023/490, numerators are 4438,6023
Denominators are 862,490
The GCF of 4438,6023 is 317 .
LCM of 862,490 is 211190.
The greatest common factor of 4438/862,6023/490 = [GCF of 4438,6023]/[LCM of 862,490]= 317/211190
Therefore, the GCF of 4438/862,6023/490 is 317/211190.
To find the highest common factor of 4438,6023, we have to find the factors of both numbers and list the highest common factor.
The factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438
The factors of 6023 are 1, 19, 317, 6023
The HCF of 4438,6023 is 317.
Lets's calculate GCF of 4438,6023
| 317 | 4438, 6023 |
| 14, 19 |
∴ So the GCF of the given numbers is 317 = 317
Greatest Common Factor of 4438,6023 By Matching Biggest Common Factor Method
Now, list down the factors of 4438
:1,2,7,14,317,634,2219,4438
Now, list down the factors of 6023
:1,19,317,6023
Greatest Common Factor
We found the factors 4438,6023 . The biggest common factor number is the GCF number.
So the greatest common factor 4438,6023 is 317.
Lets's calculate LCM of 862,490
| 2 | 862, 490 |
| 431, 245 |
∴ So the LCM of the given numbers is 2 x 431 x 245 = 211190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 317/211190
Therefore, the GCF of Fractions 4438/862,6023/490 is 317/211190
Least Common Multiple of 862,490 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 862,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,490) x common factors =2 x 1 = 2
LCM(862,490) = ( 862 × 490 ) / 2
LCM(862,490) = 422380 / 2
LCM(862,490) = 211190
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FAQs on GCF of Fractions of 4438/862, 6023/490
1. What is the HCF of 4438,6023?
The HCF of 4438,6023 is 317
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 4438/862, 6023/490?
Answer: GCF of Numerators as per given numbers 4438/862, 6023/490 is
GCF of Numerators i.e. for 4438,6023 is 317
LCM of denominators i.e. for 862,490 is 211190.
Thus, GCF of Fractions is 317/211190.Finally, GCF of Fractions for 4438/862, 6023/490 is 317/211190.