GCF of 930/312, 874/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 930/312, 874/417 i.e 2/43368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/312, 874/417.
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 930/312,874/417?
Given fractions are 930/312,874/417
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 930/312,874/417, numerators are 930,874
Denominators are 312,417
The GCF of 930,874 is 2 .
LCM of 312,417 is 43368.
The greatest common factor of 930/312,874/417 = [GCF of 930,874]/[LCM of 312,417]= 2/43368
Therefore, the GCF of 930/312,874/417 is 2/43368.
To find the highest common factor of 930,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 930,874 is 2.
Lets's calculate GCF of 930,874
| 2 | 930, 874 |
| 465, 437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 930,874 By Matching Biggest Common Factor Method
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 930,874 . The biggest common factor number is the GCF number.
So the greatest common factor 930,874 is 2.
Lets's calculate LCM of 312,417
| 3 | 312, 417 |
| 104, 139 |
∴ So the LCM of the given numbers is 3 x 104 x 139 = 43368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43368
Therefore, the GCF of Fractions 930/312,874/417 is 2/43368
Least Common Multiple of 312,417 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 312,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(312,417) x common factors =3 x 1 = 3
LCM(312,417) = ( 312 × 417 ) / 3
LCM(312,417) = 130104 / 3
LCM(312,417) = 43368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 930/312, 874/417
1. What is the HCF of 930,874?
The HCF of 930,874 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 930/312, 874/417?
Answer: GCF of Numerators as per given numbers 930/312, 874/417 is
GCF of Numerators i.e. for 930,874 is 2
LCM of denominators i.e. for 312,417 is 43368.
Thus, GCF of Fractions is 2/43368.Finally, GCF of Fractions for 930/312, 874/417 is 2/43368.