GCF of 2321/217, 4169/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2321/217, 4169/707 i.e 11/21917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2321/217, 4169/707.
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 2321/217,4169/707?
Given fractions are 2321/217,4169/707
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 2321/217,4169/707, numerators are 2321,4169
Denominators are 217,707
The GCF of 2321,4169 is 11 .
LCM of 217,707 is 21917.
The greatest common factor of 2321/217,4169/707 = [GCF of 2321,4169]/[LCM of 217,707]= 11/21917
Therefore, the GCF of 2321/217,4169/707 is 11/21917.
To find the highest common factor of 2321,4169, we have to find the factors of both numbers and list the highest common factor.
The factors of 2321 are 1, 11, 211, 2321
The factors of 4169 are 1, 11, 379, 4169
The HCF of 2321,4169 is 11.
Lets's calculate GCF of 2321,4169
| 11 | 2321, 4169 |
| 211, 379 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2321,4169 By Matching Biggest Common Factor Method
Now, list down the factors of 2321
:1,11,211,2321
Now, list down the factors of 4169
:1,11,379,4169
Greatest Common Factor
We found the factors 2321,4169 . The biggest common factor number is the GCF number.
So the greatest common factor 2321,4169 is 11.
Lets's calculate LCM of 217,707
| 7 | 217, 707 |
| 31, 101 |
∴ So the LCM of the given numbers is 7 x 31 x 101 = 21917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/21917
Therefore, the GCF of Fractions 2321/217,4169/707 is 11/21917
Least Common Multiple of 217,707 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 217,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,707) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(217,707) x common factors =7 x 1 = 7
LCM(217,707) = ( 217 × 707 ) / 7
LCM(217,707) = 153419 / 7
LCM(217,707) = 21917
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FAQs on GCF of Fractions of 2321/217, 4169/707
1. What is the HCF of 2321,4169?
The HCF of 2321,4169 is 11
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 2321/217, 4169/707?
Answer: GCF of Numerators as per given numbers 2321/217, 4169/707 is
GCF of Numerators i.e. for 2321,4169 is 11
LCM of denominators i.e. for 217,707 is 21917.
Thus, GCF of Fractions is 11/21917.Finally, GCF of Fractions for 2321/217, 4169/707 is 11/21917.