GCF of 7022/406, 5179/6414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7022/406, 5179/6414 i.e 1/1302042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7022/406, 5179/6414.
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 7022/406,5179/6414?
Given fractions are 7022/406,5179/6414
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 7022/406,5179/6414, numerators are 7022,5179
Denominators are 406,6414
The GCF of 7022,5179 is 1 .
LCM of 406,6414 is 1302042.
The greatest common factor of 7022/406,5179/6414 = [GCF of 7022,5179]/[LCM of 406,6414]= 1/1302042
Therefore, the GCF of 7022/406,5179/6414 is 1/1302042.
To find the highest common factor of 7022,5179, we have to find the factors of both numbers and list the highest common factor.
The factors of 7022 are 1, 2, 3511, 7022
The factors of 5179 are 1, 5179
The HCF of 7022,5179 is 1.
Lets's calculate GCF of 7022,5179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7022,5179 By Matching Biggest Common Factor Method
Now, list down the factors of 7022
:1,2,3511,7022
Now, list down the factors of 5179
:1,5179
Greatest Common Factor
We found the factors 7022,5179 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,5179 is 1.
Lets's calculate LCM of 406,6414
| 2 | 406, 6414 |
| 203, 3207 |
∴ So the LCM of the given numbers is 2 x 203 x 3207 = 1302042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1302042
Therefore, the GCF of Fractions 7022/406,5179/6414 is 1/1302042
Least Common Multiple of 406,6414 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 406,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,6414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,6414) x common factors =2 x 1 = 2
LCM(406,6414) = ( 406 × 6414 ) / 2
LCM(406,6414) = 2604084 / 2
LCM(406,6414) = 1302042
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FAQs on GCF of Fractions of 7022/406, 5179/6414
1. What is the HCF of 7022,5179?
The HCF of 7022,5179 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 7022/406, 5179/6414?
Answer: GCF of Numerators as per given numbers 7022/406, 5179/6414 is
GCF of Numerators i.e. for 7022,5179 is 1
LCM of denominators i.e. for 406,6414 is 1302042.
Thus, GCF of Fractions is 1/1302042.Finally, GCF of Fractions for 7022/406, 5179/6414 is 1/1302042.