GCF of 971/106, 354/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 971/106, 354/460 i.e 1/24380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/106, 354/460.
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 971/106,354/460?
Given fractions are 971/106,354/460
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 971/106,354/460, numerators are 971,354
Denominators are 106,460
The GCF of 971,354 is 1 .
LCM of 106,460 is 24380.
The greatest common factor of 971/106,354/460 = [GCF of 971,354]/[LCM of 106,460]= 1/24380
Therefore, the GCF of 971/106,354/460 is 1/24380.
To find the highest common factor of 971,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 971 are 1, 971
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 971,354 is 1.
Lets's calculate GCF of 971,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 971,354 By Matching Biggest Common Factor Method
Now, list down the factors of 971
:1,971
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 971,354 . The biggest common factor number is the GCF number.
So the greatest common factor 971,354 is 1.
Lets's calculate LCM of 106,460
| 2 | 106, 460 |
| 53, 230 |
∴ So the LCM of the given numbers is 2 x 53 x 230 = 24380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24380
Therefore, the GCF of Fractions 971/106,354/460 is 1/24380
Least Common Multiple of 106,460 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 106,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,460) x common factors =2 x 1 = 2
LCM(106,460) = ( 106 × 460 ) / 2
LCM(106,460) = 48760 / 2
LCM(106,460) = 24380
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FAQs on GCF of Fractions of 971/106, 354/460
1. What is the HCF of 971,354?
The HCF of 971,354 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 971/106, 354/460?
Answer: GCF of Numerators as per given numbers 971/106, 354/460 is
GCF of Numerators i.e. for 971,354 is 1
LCM of denominators i.e. for 106,460 is 24380.
Thus, GCF of Fractions is 1/24380.Finally, GCF of Fractions for 971/106, 354/460 is 1/24380.