GCF of 1417/814, 4207/8358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1417/814, 4207/8358 i.e 1/3401706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1417/814, 4207/8358.
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 1417/814,4207/8358?
Given fractions are 1417/814,4207/8358
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 1417/814,4207/8358, numerators are 1417,4207
Denominators are 814,8358
The GCF of 1417,4207 is 1 .
LCM of 814,8358 is 3401706.
The greatest common factor of 1417/814,4207/8358 = [GCF of 1417,4207]/[LCM of 814,8358]= 1/3401706
Therefore, the GCF of 1417/814,4207/8358 is 1/3401706.
To find the highest common factor of 1417,4207, we have to find the factors of both numbers and list the highest common factor.
The factors of 1417 are 1, 13, 109, 1417
The factors of 4207 are 1, 7, 601, 4207
The HCF of 1417,4207 is 1.
Lets's calculate GCF of 1417,4207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1417,4207 By Matching Biggest Common Factor Method
Now, list down the factors of 1417
:1,13,109,1417
Now, list down the factors of 4207
:1,7,601,4207
Greatest Common Factor
We found the factors 1417,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 1417,4207 is 1.
Lets's calculate LCM of 814,8358
| 2 | 814, 8358 |
| 407, 4179 |
∴ So the LCM of the given numbers is 2 x 407 x 4179 = 3401706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3401706
Therefore, the GCF of Fractions 1417/814,4207/8358 is 1/3401706
Least Common Multiple of 814,8358 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 814,8358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8358) x common factors =2 x 1 = 2
LCM(814,8358) = ( 814 × 8358 ) / 2
LCM(814,8358) = 6803412 / 2
LCM(814,8358) = 3401706
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FAQs on GCF of Fractions of 1417/814, 4207/8358
1. What is the HCF of 1417,4207?
The HCF of 1417,4207 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 1417/814, 4207/8358?
Answer: GCF of Numerators as per given numbers 1417/814, 4207/8358 is
GCF of Numerators i.e. for 1417,4207 is 1
LCM of denominators i.e. for 814,8358 is 3401706.
Thus, GCF of Fractions is 1/3401706.Finally, GCF of Fractions for 1417/814, 4207/8358 is 1/3401706.