GCF of 2953/794, 6320/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2953/794, 6320/813 i.e 1/645522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2953/794, 6320/813.
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 2953/794,6320/813?
Given fractions are 2953/794,6320/813
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 2953/794,6320/813, numerators are 2953,6320
Denominators are 794,813
The GCF of 2953,6320 is 1 .
LCM of 794,813 is 645522.
The greatest common factor of 2953/794,6320/813 = [GCF of 2953,6320]/[LCM of 794,813]= 1/645522
Therefore, the GCF of 2953/794,6320/813 is 1/645522.
To find the highest common factor of 2953,6320, we have to find the factors of both numbers and list the highest common factor.
The factors of 2953 are 1, 2953
The factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320
The HCF of 2953,6320 is 1.
Lets's calculate GCF of 2953,6320
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2953,6320 By Matching Biggest Common Factor Method
Now, list down the factors of 2953
:1,2953
Now, list down the factors of 6320
:1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320
Greatest Common Factor
We found the factors 2953,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 2953,6320 is 1.
Lets's calculate LCM of 794,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 645522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645522
Therefore, the GCF of Fractions 2953/794,6320/813 is 1/645522
Least Common Multiple of 794,813 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 794,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,813) x common factors =1 x 1 = 1
LCM(794,813) = ( 794 × 813 ) / 1
LCM(794,813) = 645522 / 1
LCM(794,813) = 645522
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FAQs on GCF of Fractions of 2953/794, 6320/813
1. What is the HCF of 2953,6320?
The HCF of 2953,6320 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 2953/794, 6320/813?
Answer: GCF of Numerators as per given numbers 2953/794, 6320/813 is
GCF of Numerators i.e. for 2953,6320 is 1
LCM of denominators i.e. for 794,813 is 645522.
Thus, GCF of Fractions is 1/645522.Finally, GCF of Fractions for 2953/794, 6320/813 is 1/645522.