GCF of 880/340, 958/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/340, 958/542 i.e 2/92140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/340, 958/542.
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 880/340,958/542?
Given fractions are 880/340,958/542
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 880/340,958/542, numerators are 880,958
Denominators are 340,542
The GCF of 880,958 is 2 .
LCM of 340,542 is 92140.
The greatest common factor of 880/340,958/542 = [GCF of 880,958]/[LCM of 340,542]= 2/92140
Therefore, the GCF of 880/340,958/542 is 2/92140.
To find the highest common factor of 880,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 958 are 1, 2, 479, 958
The HCF of 880,958 is 2.
Lets's calculate GCF of 880,958
| 2 | 880, 958 |
| 440, 479 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 880,958 By Matching Biggest Common Factor Method
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 880,958 . The biggest common factor number is the GCF number.
So the greatest common factor 880,958 is 2.
Lets's calculate LCM of 340,542
| 2 | 340, 542 |
| 170, 271 |
∴ So the LCM of the given numbers is 2 x 170 x 271 = 92140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92140
Therefore, the GCF of Fractions 880/340,958/542 is 2/92140
Least Common Multiple of 340,542 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 340,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,542) x common factors =2 x 1 = 2
LCM(340,542) = ( 340 × 542 ) / 2
LCM(340,542) = 184280 / 2
LCM(340,542) = 92140
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 880/340, 958/542
1. What is the HCF of 880,958?
The HCF of 880,958 is 2
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 880/340, 958/542?
Answer: GCF of Numerators as per given numbers 880/340, 958/542 is
GCF of Numerators i.e. for 880,958 is 2
LCM of denominators i.e. for 340,542 is 92140.
Thus, GCF of Fractions is 2/92140.Finally, GCF of Fractions for 880/340, 958/542 is 2/92140.