GCF of 4762/290, 6519/9534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4762/290, 6519/9534 i.e 1/1382430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4762/290, 6519/9534.
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 4762/290,6519/9534?
Given fractions are 4762/290,6519/9534
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 4762/290,6519/9534, numerators are 4762,6519
Denominators are 290,9534
The GCF of 4762,6519 is 1 .
LCM of 290,9534 is 1382430.
The greatest common factor of 4762/290,6519/9534 = [GCF of 4762,6519]/[LCM of 290,9534]= 1/1382430
Therefore, the GCF of 4762/290,6519/9534 is 1/1382430.
To find the highest common factor of 4762,6519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4762 are 1, 2, 2381, 4762
The factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519
The HCF of 4762,6519 is 1.
Lets's calculate GCF of 4762,6519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4762,6519 By Matching Biggest Common Factor Method
Now, list down the factors of 4762
:1,2,2381,4762
Now, list down the factors of 6519
:1,3,41,53,123,159,2173,6519
Greatest Common Factor
We found the factors 4762,6519 . The biggest common factor number is the GCF number.
So the greatest common factor 4762,6519 is 1.
Lets's calculate LCM of 290,9534
| 2 | 290, 9534 |
| 145, 4767 |
∴ So the LCM of the given numbers is 2 x 145 x 4767 = 1382430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1382430
Therefore, the GCF of Fractions 4762/290,6519/9534 is 1/1382430
Least Common Multiple of 290,9534 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 290,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,9534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,9534) x common factors =2 x 1 = 2
LCM(290,9534) = ( 290 × 9534 ) / 2
LCM(290,9534) = 2764860 / 2
LCM(290,9534) = 1382430
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FAQs on GCF of Fractions of 4762/290, 6519/9534
1. What is the HCF of 4762,6519?
The HCF of 4762,6519 is 1
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 4762/290, 6519/9534?
Answer: GCF of Numerators as per given numbers 4762/290, 6519/9534 is
GCF of Numerators i.e. for 4762,6519 is 1
LCM of denominators i.e. for 290,9534 is 1382430.
Thus, GCF of Fractions is 1/1382430.Finally, GCF of Fractions for 4762/290, 6519/9534 is 1/1382430.