GCF of 4838/761, 7282/8323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4838/761, 7282/8323 i.e 2/6333803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4838/761, 7282/8323.
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 4838/761,7282/8323?
Given fractions are 4838/761,7282/8323
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 4838/761,7282/8323, numerators are 4838,7282
Denominators are 761,8323
The GCF of 4838,7282 is 2 .
LCM of 761,8323 is 6333803.
The greatest common factor of 4838/761,7282/8323 = [GCF of 4838,7282]/[LCM of 761,8323]= 2/6333803
Therefore, the GCF of 4838/761,7282/8323 is 2/6333803.
To find the highest common factor of 4838,7282, we have to find the factors of both numbers and list the highest common factor.
The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The HCF of 4838,7282 is 2.
Lets's calculate GCF of 4838,7282
| 2 | 4838, 7282 |
| 2419, 3641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4838,7282 By Matching Biggest Common Factor Method
Now, list down the factors of 4838
:1,2,41,59,82,118,2419,4838
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 4838,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 4838,7282 is 2.
Lets's calculate LCM of 761,8323
Given numbers has no common factors except 1. So, there LCM is their product i.e 6333803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6333803
Therefore, the GCF of Fractions 4838/761,7282/8323 is 2/6333803
Least Common Multiple of 761,8323 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 761,8323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,8323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,8323) x common factors =1 x 1 = 1
LCM(761,8323) = ( 761 × 8323 ) / 1
LCM(761,8323) = 6333803 / 1
LCM(761,8323) = 6333803
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FAQs on GCF of Fractions of 4838/761, 7282/8323
1. What is the HCF of 4838,7282?
The HCF of 4838,7282 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 4838/761, 7282/8323?
Answer: GCF of Numerators as per given numbers 4838/761, 7282/8323 is
GCF of Numerators i.e. for 4838,7282 is 2
LCM of denominators i.e. for 761,8323 is 6333803.
Thus, GCF of Fractions is 2/6333803.Finally, GCF of Fractions for 4838/761, 7282/8323 is 2/6333803.