GCF of 1921/980, 9822/6167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1921/980, 9822/6167 i.e 1/863380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1921/980, 9822/6167.
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 1921/980,9822/6167?
Given fractions are 1921/980,9822/6167
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 1921/980,9822/6167, numerators are 1921,9822
Denominators are 980,6167
The GCF of 1921,9822 is 1 .
LCM of 980,6167 is 863380.
The greatest common factor of 1921/980,9822/6167 = [GCF of 1921,9822]/[LCM of 980,6167]= 1/863380
Therefore, the GCF of 1921/980,9822/6167 is 1/863380.
To find the highest common factor of 1921,9822, we have to find the factors of both numbers and list the highest common factor.
The factors of 1921 are 1, 17, 113, 1921
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The HCF of 1921,9822 is 1.
Lets's calculate GCF of 1921,9822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1921,9822 By Matching Biggest Common Factor Method
Now, list down the factors of 1921
:1,17,113,1921
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Greatest Common Factor
We found the factors 1921,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,9822 is 1.
Lets's calculate LCM of 980,6167
| 7 | 980, 6167 |
| 140, 881 |
∴ So the LCM of the given numbers is 7 x 140 x 881 = 863380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863380
Therefore, the GCF of Fractions 1921/980,9822/6167 is 1/863380
Least Common Multiple of 980,6167 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 980,6167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,6167) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(980,6167) x common factors =7 x 1 = 7
LCM(980,6167) = ( 980 × 6167 ) / 7
LCM(980,6167) = 6043660 / 7
LCM(980,6167) = 863380
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FAQs on GCF of Fractions of 1921/980, 9822/6167
1. What is the HCF of 1921,9822?
The HCF of 1921,9822 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 1921/980, 9822/6167?
Answer: GCF of Numerators as per given numbers 1921/980, 9822/6167 is
GCF of Numerators i.e. for 1921,9822 is 1
LCM of denominators i.e. for 980,6167 is 863380.
Thus, GCF of Fractions is 1/863380.Finally, GCF of Fractions for 1921/980, 9822/6167 is 1/863380.