GCF of 9820/830, 3749/8135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9820/830, 3749/8135 i.e 1/1350410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9820/830, 3749/8135.
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 9820/830,3749/8135?
Given fractions are 9820/830,3749/8135
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 9820/830,3749/8135, numerators are 9820,3749
Denominators are 830,8135
The GCF of 9820,3749 is 1 .
LCM of 830,8135 is 1350410.
The greatest common factor of 9820/830,3749/8135 = [GCF of 9820,3749]/[LCM of 830,8135]= 1/1350410
Therefore, the GCF of 9820/830,3749/8135 is 1/1350410.
To find the highest common factor of 9820,3749, we have to find the factors of both numbers and list the highest common factor.
The factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820
The factors of 3749 are 1, 23, 163, 3749
The HCF of 9820,3749 is 1.
Lets's calculate GCF of 9820,3749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9820,3749 By Matching Biggest Common Factor Method
Now, list down the factors of 9820
:1,2,4,5,10,20,491,982,1964,2455,4910,9820
Now, list down the factors of 3749
:1,23,163,3749
Greatest Common Factor
We found the factors 9820,3749 . The biggest common factor number is the GCF number.
So the greatest common factor 9820,3749 is 1.
Lets's calculate LCM of 830,8135
| 5 | 830, 8135 |
| 166, 1627 |
∴ So the LCM of the given numbers is 5 x 166 x 1627 = 1350410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1350410
Therefore, the GCF of Fractions 9820/830,3749/8135 is 1/1350410
Least Common Multiple of 830,8135 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 830,8135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,8135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(830,8135) x common factors =5 x 1 = 5
LCM(830,8135) = ( 830 × 8135 ) / 5
LCM(830,8135) = 6752050 / 5
LCM(830,8135) = 1350410
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9820/830, 3749/8135
1. What is the HCF of 9820,3749?
The HCF of 9820,3749 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 9820/830, 3749/8135?
Answer: GCF of Numerators as per given numbers 9820/830, 3749/8135 is
GCF of Numerators i.e. for 9820,3749 is 1
LCM of denominators i.e. for 830,8135 is 1350410.
Thus, GCF of Fractions is 1/1350410.Finally, GCF of Fractions for 9820/830, 3749/8135 is 1/1350410.