GCF of 8971/190, 4313/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8971/190, 4313/412 i.e 1/39140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8971/190, 4313/412.
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 8971/190,4313/412?
Given fractions are 8971/190,4313/412
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 8971/190,4313/412, numerators are 8971,4313
Denominators are 190,412
The GCF of 8971,4313 is 1 .
LCM of 190,412 is 39140.
The greatest common factor of 8971/190,4313/412 = [GCF of 8971,4313]/[LCM of 190,412]= 1/39140
Therefore, the GCF of 8971/190,4313/412 is 1/39140.
To find the highest common factor of 8971,4313, we have to find the factors of both numbers and list the highest common factor.
The factors of 8971 are 1, 8971
The factors of 4313 are 1, 19, 227, 4313
The HCF of 8971,4313 is 1.
Lets's calculate GCF of 8971,4313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8971,4313 By Matching Biggest Common Factor Method
Now, list down the factors of 8971
:1,8971
Now, list down the factors of 4313
:1,19,227,4313
Greatest Common Factor
We found the factors 8971,4313 . The biggest common factor number is the GCF number.
So the greatest common factor 8971,4313 is 1.
Lets's calculate LCM of 190,412
| 2 | 190, 412 |
| 95, 206 |
∴ So the LCM of the given numbers is 2 x 95 x 206 = 39140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39140
Therefore, the GCF of Fractions 8971/190,4313/412 is 1/39140
Least Common Multiple of 190,412 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 190,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,412) x common factors =2 x 1 = 2
LCM(190,412) = ( 190 × 412 ) / 2
LCM(190,412) = 78280 / 2
LCM(190,412) = 39140
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FAQs on GCF of Fractions of 8971/190, 4313/412
1. What is the HCF of 8971,4313?
The HCF of 8971,4313 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 8971/190, 4313/412?
Answer: GCF of Numerators as per given numbers 8971/190, 4313/412 is
GCF of Numerators i.e. for 8971,4313 is 1
LCM of denominators i.e. for 190,412 is 39140.
Thus, GCF of Fractions is 1/39140.Finally, GCF of Fractions for 8971/190, 4313/412 is 1/39140.