GCF of 4930/435, 1913/835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4930/435, 1913/835 i.e 1/72645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4930/435, 1913/835.
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 4930/435,1913/835?
Given fractions are 4930/435,1913/835
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 4930/435,1913/835, numerators are 4930,1913
Denominators are 435,835
The GCF of 4930,1913 is 1 .
LCM of 435,835 is 72645.
The greatest common factor of 4930/435,1913/835 = [GCF of 4930,1913]/[LCM of 435,835]= 1/72645
Therefore, the GCF of 4930/435,1913/835 is 1/72645.
To find the highest common factor of 4930,1913, we have to find the factors of both numbers and list the highest common factor.
The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930
The factors of 1913 are 1, 1913
The HCF of 4930,1913 is 1.
Lets's calculate GCF of 4930,1913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4930,1913 By Matching Biggest Common Factor Method
Now, list down the factors of 4930
:1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930
Now, list down the factors of 1913
:1,1913
Greatest Common Factor
We found the factors 4930,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,1913 is 1.
Lets's calculate LCM of 435,835
| 5 | 435, 835 |
| 87, 167 |
∴ So the LCM of the given numbers is 5 x 87 x 167 = 72645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72645
Therefore, the GCF of Fractions 4930/435,1913/835 is 1/72645
Least Common Multiple of 435,835 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 435,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,835) x common factors =5 x 1 = 5
LCM(435,835) = ( 435 × 835 ) / 5
LCM(435,835) = 363225 / 5
LCM(435,835) = 72645
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FAQs on GCF of Fractions of 4930/435, 1913/835
1. What is the HCF of 4930,1913?
The HCF of 4930,1913 is 1
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 4930/435, 1913/835?
Answer: GCF of Numerators as per given numbers 4930/435, 1913/835 is
GCF of Numerators i.e. for 4930,1913 is 1
LCM of denominators i.e. for 435,835 is 72645.
Thus, GCF of Fractions is 1/72645.Finally, GCF of Fractions for 4930/435, 1913/835 is 1/72645.