GCF of 4828/354, 8044/7515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4828/354, 8044/7515 i.e 4/886770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4828/354, 8044/7515.
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 4828/354,8044/7515?
Given fractions are 4828/354,8044/7515
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 4828/354,8044/7515, numerators are 4828,8044
Denominators are 354,7515
The GCF of 4828,8044 is 4 .
LCM of 354,7515 is 886770.
The greatest common factor of 4828/354,8044/7515 = [GCF of 4828,8044]/[LCM of 354,7515]= 4/886770
Therefore, the GCF of 4828/354,8044/7515 is 4/886770.
To find the highest common factor of 4828,8044, we have to find the factors of both numbers and list the highest common factor.
The factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828
The factors of 8044 are 1, 2, 4, 2011, 4022, 8044
The HCF of 4828,8044 is 4.
Lets's calculate GCF of 4828,8044
| 2 | 4828, 8044 |
| 2 | 2414, 4022 |
| 1207, 2011 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4828,8044 By Matching Biggest Common Factor Method
Now, list down the factors of 4828
:1,2,4,17,34,68,71,142,284,1207,2414,4828
Now, list down the factors of 8044
:1,2,4,2011,4022,8044
Greatest Common Factor
We found the factors 4828,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 4828,8044 is 4.
Lets's calculate LCM of 354,7515
| 3 | 354, 7515 |
| 118, 2505 |
∴ So the LCM of the given numbers is 3 x 118 x 2505 = 886770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/886770
Therefore, the GCF of Fractions 4828/354,8044/7515 is 4/886770
Least Common Multiple of 354,7515 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 354,7515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7515) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7515) x common factors =3 x 1 = 3
LCM(354,7515) = ( 354 × 7515 ) / 3
LCM(354,7515) = 2660310 / 3
LCM(354,7515) = 886770
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FAQs on GCF of Fractions of 4828/354, 8044/7515
1. What is the HCF of 4828,8044?
The HCF of 4828,8044 is 4
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 4828/354, 8044/7515?
Answer: GCF of Numerators as per given numbers 4828/354, 8044/7515 is
GCF of Numerators i.e. for 4828,8044 is 4
LCM of denominators i.e. for 354,7515 is 886770.
Thus, GCF of Fractions is 4/886770.Finally, GCF of Fractions for 4828/354, 8044/7515 is 4/886770.