GCF of 212/70, 361/633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 212/70, 361/633 i.e 1/44310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/70, 361/633.
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 212/70,361/633?
Given fractions are 212/70,361/633
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 212/70,361/633, numerators are 212,361
Denominators are 70,633
The GCF of 212,361 is 1 .
LCM of 70,633 is 44310.
The greatest common factor of 212/70,361/633 = [GCF of 212,361]/[LCM of 70,633]= 1/44310
Therefore, the GCF of 212/70,361/633 is 1/44310.
To find the highest common factor of 212,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 361 are 1, 19, 361
The HCF of 212,361 is 1.
Lets's calculate GCF of 212,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 212,361 By Matching Biggest Common Factor Method
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 212,361 . The biggest common factor number is the GCF number.
So the greatest common factor 212,361 is 1.
Lets's calculate LCM of 70,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 44310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44310
Therefore, the GCF of Fractions 212/70,361/633 is 1/44310
Least Common Multiple of 70,633 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 70,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,633) x common factors =1 x 1 = 1
LCM(70,633) = ( 70 × 633 ) / 1
LCM(70,633) = 44310 / 1
LCM(70,633) = 44310
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FAQs on GCF of Fractions of 212/70, 361/633
1. What is the HCF of 212,361?
The HCF of 212,361 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 212/70, 361/633?
Answer: GCF of Numerators as per given numbers 212/70, 361/633 is
GCF of Numerators i.e. for 212,361 is 1
LCM of denominators i.e. for 70,633 is 44310.
Thus, GCF of Fractions is 1/44310.Finally, GCF of Fractions for 212/70, 361/633 is 1/44310.