GCF of 340/10, 352/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/10, 352/135 i.e 4/270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/10, 352/135.
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 340/10,352/135?
Given fractions are 340/10,352/135
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 340/10,352/135, numerators are 340,352
Denominators are 10,135
The GCF of 340,352 is 4 .
LCM of 10,135 is 270.
The greatest common factor of 340/10,352/135 = [GCF of 340,352]/[LCM of 10,135]= 4/270
Therefore, the GCF of 340/10,352/135 is 4/270.
To find the highest common factor of 340,352, 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 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 340,352 is 4.
Lets's calculate GCF of 340,352
| 2 | 340, 352 |
| 2 | 170, 176 |
| 85, 88 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 340,352 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 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 340,352 . The biggest common factor number is the GCF number.
So the greatest common factor 340,352 is 4.
Lets's calculate LCM of 10,135
| 5 | 10, 135 |
| 2, 27 |
∴ So the LCM of the given numbers is 5 x 2 x 27 = 270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/270
Therefore, the GCF of Fractions 340/10,352/135 is 4/270
Least Common Multiple of 10,135 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 10,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(10,135) x common factors =5 x 1 = 5
LCM(10,135) = ( 10 × 135 ) / 5
LCM(10,135) = 1350 / 5
LCM(10,135) = 270
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FAQs on GCF of Fractions of 340/10, 352/135
1. What is the HCF of 340,352?
The HCF of 340,352 is 4
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 340/10, 352/135?
Answer: GCF of Numerators as per given numbers 340/10, 352/135 is
GCF of Numerators i.e. for 340,352 is 4
LCM of denominators i.e. for 10,135 is 270.
Thus, GCF of Fractions is 4/270.Finally, GCF of Fractions for 340/10, 352/135 is 4/270.