GCF of 4795/832, 6822/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4795/832, 6822/745 i.e 1/619840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4795/832, 6822/745.
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 4795/832,6822/745?
Given fractions are 4795/832,6822/745
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 4795/832,6822/745, numerators are 4795,6822
Denominators are 832,745
The GCF of 4795,6822 is 1 .
LCM of 832,745 is 619840.
The greatest common factor of 4795/832,6822/745 = [GCF of 4795,6822]/[LCM of 832,745]= 1/619840
Therefore, the GCF of 4795/832,6822/745 is 1/619840.
To find the highest common factor of 4795,6822, we have to find the factors of both numbers and list the highest common factor.
The factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795
The factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822
The HCF of 4795,6822 is 1.
Lets's calculate GCF of 4795,6822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4795,6822 By Matching Biggest Common Factor Method
Now, list down the factors of 4795
:1,5,7,35,137,685,959,4795
Now, list down the factors of 6822
:1,2,3,6,9,18,379,758,1137,2274,3411,6822
Greatest Common Factor
We found the factors 4795,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 4795,6822 is 1.
Lets's calculate LCM of 832,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 619840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619840
Therefore, the GCF of Fractions 4795/832,6822/745 is 1/619840
Least Common Multiple of 832,745 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 832,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,745) x common factors =1 x 1 = 1
LCM(832,745) = ( 832 × 745 ) / 1
LCM(832,745) = 619840 / 1
LCM(832,745) = 619840
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FAQs on GCF of Fractions of 4795/832, 6822/745
1. What is the HCF of 4795,6822?
The HCF of 4795,6822 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 4795/832, 6822/745?
Answer: GCF of Numerators as per given numbers 4795/832, 6822/745 is
GCF of Numerators i.e. for 4795,6822 is 1
LCM of denominators i.e. for 832,745 is 619840.
Thus, GCF of Fractions is 1/619840.Finally, GCF of Fractions for 4795/832, 6822/745 is 1/619840.