GCF of 7924/219, 6934/2209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7924/219, 6934/2209 i.e 2/483771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/219, 6934/2209.
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 7924/219,6934/2209?
Given fractions are 7924/219,6934/2209
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 7924/219,6934/2209, numerators are 7924,6934
Denominators are 219,2209
The GCF of 7924,6934 is 2 .
LCM of 219,2209 is 483771.
The greatest common factor of 7924/219,6934/2209 = [GCF of 7924,6934]/[LCM of 219,2209]= 2/483771
Therefore, the GCF of 7924/219,6934/2209 is 2/483771.
To find the highest common factor of 7924,6934, we have to find the factors of both numbers and list the highest common factor.
The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924
The factors of 6934 are 1, 2, 3467, 6934
The HCF of 7924,6934 is 2.
Lets's calculate GCF of 7924,6934
| 2 | 7924, 6934 |
| 3962, 3467 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7924,6934 By Matching Biggest Common Factor Method
Now, list down the factors of 7924
:1,2,4,7,14,28,283,566,1132,1981,3962,7924
Now, list down the factors of 6934
:1,2,3467,6934
Greatest Common Factor
We found the factors 7924,6934 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,6934 is 2.
Lets's calculate LCM of 219,2209
Given numbers has no common factors except 1. So, there LCM is their product i.e 483771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/483771
Therefore, the GCF of Fractions 7924/219,6934/2209 is 2/483771
Least Common Multiple of 219,2209 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 219,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,2209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,2209) x common factors =1 x 1 = 1
LCM(219,2209) = ( 219 × 2209 ) / 1
LCM(219,2209) = 483771 / 1
LCM(219,2209) = 483771
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FAQs on GCF of Fractions of 7924/219, 6934/2209
1. What is the HCF of 7924,6934?
The HCF of 7924,6934 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 7924/219, 6934/2209?
Answer: GCF of Numerators as per given numbers 7924/219, 6934/2209 is
GCF of Numerators i.e. for 7924,6934 is 2
LCM of denominators i.e. for 219,2209 is 483771.
Thus, GCF of Fractions is 2/483771.Finally, GCF of Fractions for 7924/219, 6934/2209 is 2/483771.