GCF of 7321/406, 3199/3871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7321/406, 3199/3871 i.e 1/224518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7321/406, 3199/3871.
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 7321/406,3199/3871?
Given fractions are 7321/406,3199/3871
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 7321/406,3199/3871, numerators are 7321,3199
Denominators are 406,3871
The GCF of 7321,3199 is 1 .
LCM of 406,3871 is 224518.
The greatest common factor of 7321/406,3199/3871 = [GCF of 7321,3199]/[LCM of 406,3871]= 1/224518
Therefore, the GCF of 7321/406,3199/3871 is 1/224518.
To find the highest common factor of 7321,3199, we have to find the factors of both numbers and list the highest common factor.
The factors of 7321 are 1, 7321
The factors of 3199 are 1, 7, 457, 3199
The HCF of 7321,3199 is 1.
Lets's calculate GCF of 7321,3199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7321,3199 By Matching Biggest Common Factor Method
Now, list down the factors of 7321
:1,7321
Now, list down the factors of 3199
:1,7,457,3199
Greatest Common Factor
We found the factors 7321,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,3199 is 1.
Lets's calculate LCM of 406,3871
| 7 | 406, 3871 |
| 58, 553 |
∴ So the LCM of the given numbers is 7 x 58 x 553 = 224518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224518
Therefore, the GCF of Fractions 7321/406,3199/3871 is 1/224518
Least Common Multiple of 406,3871 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 406,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,3871) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(406,3871) x common factors =7 x 1 = 7
LCM(406,3871) = ( 406 × 3871 ) / 7
LCM(406,3871) = 1571626 / 7
LCM(406,3871) = 224518
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FAQs on GCF of Fractions of 7321/406, 3199/3871
1. What is the HCF of 7321,3199?
The HCF of 7321,3199 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 7321/406, 3199/3871?
Answer: GCF of Numerators as per given numbers 7321/406, 3199/3871 is
GCF of Numerators i.e. for 7321,3199 is 1
LCM of denominators i.e. for 406,3871 is 224518.
Thus, GCF of Fractions is 1/224518.Finally, GCF of Fractions for 7321/406, 3199/3871 is 1/224518.