GCF of 340/157, 442/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/157, 442/359 i.e 34/56363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/157, 442/359.
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 340/157,442/359?
Given fractions are 340/157,442/359
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 340/157,442/359, numerators are 340,442
Denominators are 157,359
The GCF of 340,442 is 34 .
LCM of 157,359 is 56363.
The greatest common factor of 340/157,442/359 = [GCF of 340,442]/[LCM of 157,359]= 34/56363
Therefore, the GCF of 340/157,442/359 is 34/56363.
To find the highest common factor of 340,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 340,442 is 34.
Lets's calculate GCF of 340,442
| 2 | 340, 442 |
| 17 | 170, 221 |
| 10, 13 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 340,442 By Matching Biggest Common Factor Method
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 340,442 . The biggest common factor number is the GCF number.
So the greatest common factor 340,442 is 34.
Lets's calculate LCM of 157,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 56363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/56363
Therefore, the GCF of Fractions 340/157,442/359 is 34/56363
Least Common Multiple of 157,359 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 157,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,359) x common factors =1 x 1 = 1
LCM(157,359) = ( 157 × 359 ) / 1
LCM(157,359) = 56363 / 1
LCM(157,359) = 56363
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FAQs on GCF of Fractions of 340/157, 442/359
1. What is the HCF of 340,442?
The HCF of 340,442 is 34
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 340/157, 442/359?
Answer: GCF of Numerators as per given numbers 340/157, 442/359 is
GCF of Numerators i.e. for 340,442 is 34
LCM of denominators i.e. for 157,359 is 56363.
Thus, GCF of Fractions is 34/56363.Finally, GCF of Fractions for 340/157, 442/359 is 34/56363.