GCF of 4679/110, 1412/3971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4679/110, 1412/3971 i.e 1/39710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4679/110, 1412/3971.
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 4679/110,1412/3971?
Given fractions are 4679/110,1412/3971
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 4679/110,1412/3971, numerators are 4679,1412
Denominators are 110,3971
The GCF of 4679,1412 is 1 .
LCM of 110,3971 is 39710.
The greatest common factor of 4679/110,1412/3971 = [GCF of 4679,1412]/[LCM of 110,3971]= 1/39710
Therefore, the GCF of 4679/110,1412/3971 is 1/39710.
To find the highest common factor of 4679,1412, we have to find the factors of both numbers and list the highest common factor.
The factors of 4679 are 1, 4679
The factors of 1412 are 1, 2, 4, 353, 706, 1412
The HCF of 4679,1412 is 1.
Lets's calculate GCF of 4679,1412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4679,1412 By Matching Biggest Common Factor Method
Now, list down the factors of 4679
:1,4679
Now, list down the factors of 1412
:1,2,4,353,706,1412
Greatest Common Factor
We found the factors 4679,1412 . The biggest common factor number is the GCF number.
So the greatest common factor 4679,1412 is 1.
Lets's calculate LCM of 110,3971
| 11 | 110, 3971 |
| 10, 361 |
∴ So the LCM of the given numbers is 11 x 10 x 361 = 39710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39710
Therefore, the GCF of Fractions 4679/110,1412/3971 is 1/39710
Least Common Multiple of 110,3971 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 110,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,3971) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(110,3971) x common factors =11 x 1 = 11
LCM(110,3971) = ( 110 × 3971 ) / 11
LCM(110,3971) = 436810 / 11
LCM(110,3971) = 39710
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FAQs on GCF of Fractions of 4679/110, 1412/3971
1. What is the HCF of 4679,1412?
The HCF of 4679,1412 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 4679/110, 1412/3971?
Answer: GCF of Numerators as per given numbers 4679/110, 1412/3971 is
GCF of Numerators i.e. for 4679,1412 is 1
LCM of denominators i.e. for 110,3971 is 39710.
Thus, GCF of Fractions is 1/39710.Finally, GCF of Fractions for 4679/110, 1412/3971 is 1/39710.