GCF of 4214/853, 1382/4207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4214/853, 1382/4207 i.e 2/3588571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4214/853, 1382/4207.
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 4214/853,1382/4207?
Given fractions are 4214/853,1382/4207
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 4214/853,1382/4207, numerators are 4214,1382
Denominators are 853,4207
The GCF of 4214,1382 is 2 .
LCM of 853,4207 is 3588571.
The greatest common factor of 4214/853,1382/4207 = [GCF of 4214,1382]/[LCM of 853,4207]= 2/3588571
Therefore, the GCF of 4214/853,1382/4207 is 2/3588571.
To find the highest common factor of 4214,1382, we have to find the factors of both numbers and list the highest common factor.
The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214
The factors of 1382 are 1, 2, 691, 1382
The HCF of 4214,1382 is 2.
Lets's calculate GCF of 4214,1382
| 2 | 4214, 1382 |
| 2107, 691 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4214,1382 By Matching Biggest Common Factor Method
Now, list down the factors of 4214
:1,2,7,14,43,49,86,98,301,602,2107,4214
Now, list down the factors of 1382
:1,2,691,1382
Greatest Common Factor
We found the factors 4214,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 4214,1382 is 2.
Lets's calculate LCM of 853,4207
Given numbers has no common factors except 1. So, there LCM is their product i.e 3588571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3588571
Therefore, the GCF of Fractions 4214/853,1382/4207 is 2/3588571
Least Common Multiple of 853,4207 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 853,4207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,4207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,4207) x common factors =1 x 1 = 1
LCM(853,4207) = ( 853 × 4207 ) / 1
LCM(853,4207) = 3588571 / 1
LCM(853,4207) = 3588571
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FAQs on GCF of Fractions of 4214/853, 1382/4207
1. What is the HCF of 4214,1382?
The HCF of 4214,1382 is 2
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 4214/853, 1382/4207?
Answer: GCF of Numerators as per given numbers 4214/853, 1382/4207 is
GCF of Numerators i.e. for 4214,1382 is 2
LCM of denominators i.e. for 853,4207 is 3588571.
Thus, GCF of Fractions is 2/3588571.Finally, GCF of Fractions for 4214/853, 1382/4207 is 2/3588571.