GCF of 2972/212, 4355/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2972/212, 4355/9782 i.e 1/1036892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2972/212, 4355/9782.
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 2972/212,4355/9782?
Given fractions are 2972/212,4355/9782
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 2972/212,4355/9782, numerators are 2972,4355
Denominators are 212,9782
The GCF of 2972,4355 is 1 .
LCM of 212,9782 is 1036892.
The greatest common factor of 2972/212,4355/9782 = [GCF of 2972,4355]/[LCM of 212,9782]= 1/1036892
Therefore, the GCF of 2972/212,4355/9782 is 1/1036892.
To find the highest common factor of 2972,4355, we have to find the factors of both numbers and list the highest common factor.
The factors of 2972 are 1, 2, 4, 743, 1486, 2972
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The HCF of 2972,4355 is 1.
Lets's calculate GCF of 2972,4355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2972,4355 By Matching Biggest Common Factor Method
Now, list down the factors of 2972
:1,2,4,743,1486,2972
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Greatest Common Factor
We found the factors 2972,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 2972,4355 is 1.
Lets's calculate LCM of 212,9782
| 2 | 212, 9782 |
| 106, 4891 |
∴ So the LCM of the given numbers is 2 x 106 x 4891 = 1036892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036892
Therefore, the GCF of Fractions 2972/212,4355/9782 is 1/1036892
Least Common Multiple of 212,9782 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 212,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,9782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,9782) x common factors =2 x 1 = 2
LCM(212,9782) = ( 212 × 9782 ) / 2
LCM(212,9782) = 2073784 / 2
LCM(212,9782) = 1036892
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FAQs on GCF of Fractions of 2972/212, 4355/9782
1. What is the HCF of 2972,4355?
The HCF of 2972,4355 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 2972/212, 4355/9782?
Answer: GCF of Numerators as per given numbers 2972/212, 4355/9782 is
GCF of Numerators i.e. for 2972,4355 is 1
LCM of denominators i.e. for 212,9782 is 1036892.
Thus, GCF of Fractions is 1/1036892.Finally, GCF of Fractions for 2972/212, 4355/9782 is 1/1036892.