GCF of 9820/974, 3292/4528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9820/974, 3292/4528 i.e 4/2205136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9820/974, 3292/4528.
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 9820/974,3292/4528?
Given fractions are 9820/974,3292/4528
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 9820/974,3292/4528, numerators are 9820,3292
Denominators are 974,4528
The GCF of 9820,3292 is 4 .
LCM of 974,4528 is 2205136.
The greatest common factor of 9820/974,3292/4528 = [GCF of 9820,3292]/[LCM of 974,4528]= 4/2205136
Therefore, the GCF of 9820/974,3292/4528 is 4/2205136.
To find the highest common factor of 9820,3292, 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 3292 are 1, 2, 4, 823, 1646, 3292
The HCF of 9820,3292 is 4.
Lets's calculate GCF of 9820,3292
| 2 | 9820, 3292 |
| 2 | 4910, 1646 |
| 2455, 823 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9820,3292 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 3292
:1,2,4,823,1646,3292
Greatest Common Factor
We found the factors 9820,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 9820,3292 is 4.
Lets's calculate LCM of 974,4528
| 2 | 974, 4528 |
| 487, 2264 |
∴ So the LCM of the given numbers is 2 x 487 x 2264 = 2205136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2205136
Therefore, the GCF of Fractions 9820/974,3292/4528 is 4/2205136
Least Common Multiple of 974,4528 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 974,4528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,4528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,4528) x common factors =2 x 1 = 2
LCM(974,4528) = ( 974 × 4528 ) / 2
LCM(974,4528) = 4410272 / 2
LCM(974,4528) = 2205136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9820/974, 3292/4528
1. What is the HCF of 9820,3292?
The HCF of 9820,3292 is 4
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 9820/974, 3292/4528?
Answer: GCF of Numerators as per given numbers 9820/974, 3292/4528 is
GCF of Numerators i.e. for 9820,3292 is 4
LCM of denominators i.e. for 974,4528 is 2205136.
Thus, GCF of Fractions is 4/2205136.Finally, GCF of Fractions for 9820/974, 3292/4528 is 4/2205136.