GCF of 935/74, 205/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/74, 205/360 i.e 5/13320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/74, 205/360.
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 935/74,205/360?
Given fractions are 935/74,205/360
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 935/74,205/360, numerators are 935,205
Denominators are 74,360
The GCF of 935,205 is 5 .
LCM of 74,360 is 13320.
The greatest common factor of 935/74,205/360 = [GCF of 935,205]/[LCM of 74,360]= 5/13320
Therefore, the GCF of 935/74,205/360 is 5/13320.
To find the highest common factor of 935,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 205 are 1, 5, 41, 205
The HCF of 935,205 is 5.
Lets's calculate GCF of 935,205
| 5 | 935, 205 |
| 187, 41 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 935,205 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 935,205 . The biggest common factor number is the GCF number.
So the greatest common factor 935,205 is 5.
Lets's calculate LCM of 74,360
| 2 | 74, 360 |
| 37, 180 |
∴ So the LCM of the given numbers is 2 x 37 x 180 = 13320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13320
Therefore, the GCF of Fractions 935/74,205/360 is 5/13320
Least Common Multiple of 74,360 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 74,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,360) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,360) x common factors =2 x 1 = 2
LCM(74,360) = ( 74 × 360 ) / 2
LCM(74,360) = 26640 / 2
LCM(74,360) = 13320
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FAQs on GCF of Fractions of 935/74, 205/360
1. What is the HCF of 935,205?
The HCF of 935,205 is 5
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 935/74, 205/360?
Answer: GCF of Numerators as per given numbers 935/74, 205/360 is
GCF of Numerators i.e. for 935,205 is 5
LCM of denominators i.e. for 74,360 is 13320.
Thus, GCF of Fractions is 5/13320.Finally, GCF of Fractions for 935/74, 205/360 is 5/13320.