GCF of 2865/738, 4762/9119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2865/738, 4762/9119 i.e 1/6729822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2865/738, 4762/9119.
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 2865/738,4762/9119?
Given fractions are 2865/738,4762/9119
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 2865/738,4762/9119, numerators are 2865,4762
Denominators are 738,9119
The GCF of 2865,4762 is 1 .
LCM of 738,9119 is 6729822.
The greatest common factor of 2865/738,4762/9119 = [GCF of 2865,4762]/[LCM of 738,9119]= 1/6729822
Therefore, the GCF of 2865/738,4762/9119 is 1/6729822.
To find the highest common factor of 2865,4762, we have to find the factors of both numbers and list the highest common factor.
The factors of 2865 are 1, 3, 5, 15, 191, 573, 955, 2865
The factors of 4762 are 1, 2, 2381, 4762
The HCF of 2865,4762 is 1.
Lets's calculate GCF of 2865,4762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2865,4762 By Matching Biggest Common Factor Method
Now, list down the factors of 2865
:1,3,5,15,191,573,955,2865
Now, list down the factors of 4762
:1,2,2381,4762
Greatest Common Factor
We found the factors 2865,4762 . The biggest common factor number is the GCF number.
So the greatest common factor 2865,4762 is 1.
Lets's calculate LCM of 738,9119
Given numbers has no common factors except 1. So, there LCM is their product i.e 6729822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6729822
Therefore, the GCF of Fractions 2865/738,4762/9119 is 1/6729822
Least Common Multiple of 738,9119 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 738,9119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,9119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,9119) x common factors =1 x 1 = 1
LCM(738,9119) = ( 738 × 9119 ) / 1
LCM(738,9119) = 6729822 / 1
LCM(738,9119) = 6729822
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FAQs on GCF of Fractions of 2865/738, 4762/9119
1. What is the HCF of 2865,4762?
The HCF of 2865,4762 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 2865/738, 4762/9119?
Answer: GCF of Numerators as per given numbers 2865/738, 4762/9119 is
GCF of Numerators i.e. for 2865,4762 is 1
LCM of denominators i.e. for 738,9119 is 6729822.
Thus, GCF of Fractions is 1/6729822.Finally, GCF of Fractions for 2865/738, 4762/9119 is 1/6729822.