GCF of 340/282, 340/522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/282, 340/522 i.e 340/24534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/282, 340/522.
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 340/282,340/522?
Given fractions are 340/282,340/522
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 340/282,340/522, numerators are 340,340
Denominators are 282,522
The GCF of 340,340 is 340 .
LCM of 282,522 is 24534.
The greatest common factor of 340/282,340/522 = [GCF of 340,340]/[LCM of 282,522]= 340/24534
Therefore, the GCF of 340/282,340/522 is 340/24534.
To find the highest common factor of 340,340, 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 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The HCF of 340,340 is 340.
Lets's calculate GCF of 340,340
| 2 | 340, 340 |
| 2 | 170, 170 |
| 5 | 85, 85 |
| 17 | 17, 17 |
| 1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 17 = 340
Greatest Common Factor of 340,340 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 340
:1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 340,340 . The biggest common factor number is the GCF number.
So the greatest common factor 340,340 is 340.
Lets's calculate LCM of 282,522
| 2 | 282, 522 |
| 3 | 141, 261 |
| 47, 87 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 87 = 24534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 340/24534
Therefore, the GCF of Fractions 340/282,340/522 is 340/24534
Least Common Multiple of 282,522 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 282,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,522) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(282,522) x common factors =6 x 1 = 6
LCM(282,522) = ( 282 × 522 ) / 6
LCM(282,522) = 147204 / 6
LCM(282,522) = 24534
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FAQs on GCF of Fractions of 340/282, 340/522
1. What is the HCF of 340,340?
The HCF of 340,340 is 340
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 340/282, 340/522?
Answer: GCF of Numerators as per given numbers 340/282, 340/522 is
GCF of Numerators i.e. for 340,340 is 340
LCM of denominators i.e. for 282,522 is 24534.
Thus, GCF of Fractions is 340/24534.Finally, GCF of Fractions for 340/282, 340/522 is 340/24534.