GCF of 9822/377, 7730/4337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9822/377, 7730/4337 i.e 2/1635049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9822/377, 7730/4337.
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 9822/377,7730/4337?
Given fractions are 9822/377,7730/4337
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 9822/377,7730/4337, numerators are 9822,7730
Denominators are 377,4337
The GCF of 9822,7730 is 2 .
LCM of 377,4337 is 1635049.
The greatest common factor of 9822/377,7730/4337 = [GCF of 9822,7730]/[LCM of 377,4337]= 2/1635049
Therefore, the GCF of 9822/377,7730/4337 is 2/1635049.
To find the highest common factor of 9822,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 9822,7730 is 2.
Lets's calculate GCF of 9822,7730
| 2 | 9822, 7730 |
| 4911, 3865 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9822,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 9822,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,7730 is 2.
Lets's calculate LCM of 377,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 1635049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1635049
Therefore, the GCF of Fractions 9822/377,7730/4337 is 2/1635049
Least Common Multiple of 377,4337 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 377,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,4337) x common factors =1 x 1 = 1
LCM(377,4337) = ( 377 × 4337 ) / 1
LCM(377,4337) = 1635049 / 1
LCM(377,4337) = 1635049
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9822/377, 7730/4337
1. What is the HCF of 9822,7730?
The HCF of 9822,7730 is 2
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 9822/377, 7730/4337?
Answer: GCF of Numerators as per given numbers 9822/377, 7730/4337 is
GCF of Numerators i.e. for 9822,7730 is 2
LCM of denominators i.e. for 377,4337 is 1635049.
Thus, GCF of Fractions is 2/1635049.Finally, GCF of Fractions for 9822/377, 7730/4337 is 2/1635049.