GCF of 4301/880, 1349/3179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4301/880, 1349/3179 i.e 1/254320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4301/880, 1349/3179.
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 4301/880,1349/3179?
Given fractions are 4301/880,1349/3179
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 4301/880,1349/3179, numerators are 4301,1349
Denominators are 880,3179
The GCF of 4301,1349 is 1 .
LCM of 880,3179 is 254320.
The greatest common factor of 4301/880,1349/3179 = [GCF of 4301,1349]/[LCM of 880,3179]= 1/254320
Therefore, the GCF of 4301/880,1349/3179 is 1/254320.
To find the highest common factor of 4301,1349, we have to find the factors of both numbers and list the highest common factor.
The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301
The factors of 1349 are 1, 19, 71, 1349
The HCF of 4301,1349 is 1.
Lets's calculate GCF of 4301,1349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4301,1349 By Matching Biggest Common Factor Method
Now, list down the factors of 4301
:1,11,17,23,187,253,391,4301
Now, list down the factors of 1349
:1,19,71,1349
Greatest Common Factor
We found the factors 4301,1349 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,1349 is 1.
Lets's calculate LCM of 880,3179
| 11 | 880, 3179 |
| 80, 289 |
∴ So the LCM of the given numbers is 11 x 80 x 289 = 254320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254320
Therefore, the GCF of Fractions 4301/880,1349/3179 is 1/254320
Least Common Multiple of 880,3179 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 880,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,3179) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(880,3179) x common factors =11 x 1 = 11
LCM(880,3179) = ( 880 × 3179 ) / 11
LCM(880,3179) = 2797520 / 11
LCM(880,3179) = 254320
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FAQs on GCF of Fractions of 4301/880, 1349/3179
1. What is the HCF of 4301,1349?
The HCF of 4301,1349 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 4301/880, 1349/3179?
Answer: GCF of Numerators as per given numbers 4301/880, 1349/3179 is
GCF of Numerators i.e. for 4301,1349 is 1
LCM of denominators i.e. for 880,3179 is 254320.
Thus, GCF of Fractions is 1/254320.Finally, GCF of Fractions for 4301/880, 1349/3179 is 1/254320.