GCF of 782/935, 115/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 782/935, 115/820 i.e 23/153340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 782/935, 115/820.
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 782/935,115/820?
Given fractions are 782/935,115/820
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 782/935,115/820, numerators are 782,115
Denominators are 935,820
The GCF of 782,115 is 23 .
LCM of 935,820 is 153340.
The greatest common factor of 782/935,115/820 = [GCF of 782,115]/[LCM of 935,820]= 23/153340
Therefore, the GCF of 782/935,115/820 is 23/153340.
To find the highest common factor of 782,115, we have to find the factors of both numbers and list the highest common factor.
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The factors of 115 are 1, 5, 23, 115
The HCF of 782,115 is 23.
Lets's calculate GCF of 782,115
| 23 | 782, 115 |
| 34, 5 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 782,115 By Matching Biggest Common Factor Method
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Now, list down the factors of 115
:1,5,23,115
Greatest Common Factor
We found the factors 782,115 . The biggest common factor number is the GCF number.
So the greatest common factor 782,115 is 23.
Lets's calculate LCM of 935,820
| 5 | 935, 820 |
| 187, 164 |
∴ So the LCM of the given numbers is 5 x 187 x 164 = 153340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/153340
Therefore, the GCF of Fractions 782/935,115/820 is 23/153340
Least Common Multiple of 935,820 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 935,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,820) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(935,820) x common factors =5 x 1 = 5
LCM(935,820) = ( 935 × 820 ) / 5
LCM(935,820) = 766700 / 5
LCM(935,820) = 153340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 782/935, 115/820
1. What is the HCF of 782,115?
The HCF of 782,115 is 23
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 782/935, 115/820?
Answer: GCF of Numerators as per given numbers 782/935, 115/820 is
GCF of Numerators i.e. for 782,115 is 23
LCM of denominators i.e. for 935,820 is 153340.
Thus, GCF of Fractions is 23/153340.Finally, GCF of Fractions for 782/935, 115/820 is 23/153340.