GCF of 362/466, 971/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 362/466, 971/722 i.e 1/168226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/466, 971/722.
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 362/466,971/722?
Given fractions are 362/466,971/722
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 362/466,971/722, numerators are 362,971
Denominators are 466,722
The GCF of 362,971 is 1 .
LCM of 466,722 is 168226.
The greatest common factor of 362/466,971/722 = [GCF of 362,971]/[LCM of 466,722]= 1/168226
Therefore, the GCF of 362/466,971/722 is 1/168226.
To find the highest common factor of 362,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 362 are 1, 2, 181, 362
The factors of 971 are 1, 971
The HCF of 362,971 is 1.
Lets's calculate GCF of 362,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 362,971 By Matching Biggest Common Factor Method
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 362,971 . The biggest common factor number is the GCF number.
So the greatest common factor 362,971 is 1.
Lets's calculate LCM of 466,722
| 2 | 466, 722 |
| 233, 361 |
∴ So the LCM of the given numbers is 2 x 233 x 361 = 168226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168226
Therefore, the GCF of Fractions 362/466,971/722 is 1/168226
Least Common Multiple of 466,722 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 466,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,722) x common factors =2 x 1 = 2
LCM(466,722) = ( 466 × 722 ) / 2
LCM(466,722) = 336452 / 2
LCM(466,722) = 168226
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FAQs on GCF of Fractions of 362/466, 971/722
1. What is the HCF of 362,971?
The HCF of 362,971 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 362/466, 971/722?
Answer: GCF of Numerators as per given numbers 362/466, 971/722 is
GCF of Numerators i.e. for 362,971 is 1
LCM of denominators i.e. for 466,722 is 168226.
Thus, GCF of Fractions is 1/168226.Finally, GCF of Fractions for 362/466, 971/722 is 1/168226.