GCF of 71/397, 779/123, 342/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 71/397, 779/123, 342/149 i.e 1/7275819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/397, 779/123, 342/149.
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 71/397,779/123,342/149?
Given fractions are 71/397,779/123,342/149
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 71/397,779/123,342/149, numerators are 71,779,342
Denominators are 397,123,149
The GCF of 71,779,342 is 1 .
LCM of 397,123,149 is 7275819.
The greatest common factor of 71/397,779/123,342/149 = [GCF of 71,779,342]/[LCM of 397,123,149]= 1/7275819
Therefore, the GCF of 71/397,779/123,342/149 is 1/7275819.
To find the highest common factor of 71,779,342, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 779 are 1, 19, 41, 779
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 71,779,342 is 1.
Lets's calculate GCF of 71,779,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 71,779,342 By Matching Biggest Common Factor Method
Now, list down the factors of 71
:1,71
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 71,779,342 . The biggest common factor number is the GCF number.
So the greatest common factor 71,779,342 is 1.
Lets's calculate LCM of 397,123,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 7275819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7275819
Therefore, the GCF of Fractions 71/397,779/123,342/149 is 1/7275819
Least Common Multiple of 397,123,149 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 397,123,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,123,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,123,149) x common factors =1 x 1 = 1
LCM(397,123,149) = ( 397 × 123 × 149 ) / 1
LCM(397,123,149) = 7275819 / 1
LCM(397,123,149) = 7275819
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FAQs on GCF of Fractions of 71/397, 779/123, 342/149
1. What is the HCF of 71,779,342?
The HCF of 71,779,342 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 71/397, 779/123, 342/149?
Answer: GCF of Numerators as per given numbers 71/397, 779/123, 342/149 is
GCF of Numerators i.e. for 71,779,342 is 1
LCM of denominators i.e. for 397,123,149 is 7275819.
Thus, GCF of Fractions is 1/7275819.Finally, GCF of Fractions for 71/397, 779/123, 342/149 is 1/7275819.