GCF of 2969/849, 2372/640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2969/849, 2372/640 i.e 1/543360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2969/849, 2372/640.
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 2969/849,2372/640?
Given fractions are 2969/849,2372/640
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 2969/849,2372/640, numerators are 2969,2372
Denominators are 849,640
The GCF of 2969,2372 is 1 .
LCM of 849,640 is 543360.
The greatest common factor of 2969/849,2372/640 = [GCF of 2969,2372]/[LCM of 849,640]= 1/543360
Therefore, the GCF of 2969/849,2372/640 is 1/543360.
To find the highest common factor of 2969,2372, we have to find the factors of both numbers and list the highest common factor.
The factors of 2969 are 1, 2969
The factors of 2372 are 1, 2, 4, 593, 1186, 2372
The HCF of 2969,2372 is 1.
Lets's calculate GCF of 2969,2372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2969,2372 By Matching Biggest Common Factor Method
Now, list down the factors of 2969
:1,2969
Now, list down the factors of 2372
:1,2,4,593,1186,2372
Greatest Common Factor
We found the factors 2969,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 2969,2372 is 1.
Lets's calculate LCM of 849,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 543360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543360
Therefore, the GCF of Fractions 2969/849,2372/640 is 1/543360
Least Common Multiple of 849,640 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 849,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,640) x common factors =1 x 1 = 1
LCM(849,640) = ( 849 × 640 ) / 1
LCM(849,640) = 543360 / 1
LCM(849,640) = 543360
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FAQs on GCF of Fractions of 2969/849, 2372/640
1. What is the HCF of 2969,2372?
The HCF of 2969,2372 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 2969/849, 2372/640?
Answer: GCF of Numerators as per given numbers 2969/849, 2372/640 is
GCF of Numerators i.e. for 2969,2372 is 1
LCM of denominators i.e. for 849,640 is 543360.
Thus, GCF of Fractions is 1/543360.Finally, GCF of Fractions for 2969/849, 2372/640 is 1/543360.