GCF of 1924/657, 2934/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1924/657, 2934/9966 i.e 2/2182554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1924/657, 2934/9966.
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 1924/657,2934/9966?
Given fractions are 1924/657,2934/9966
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 1924/657,2934/9966, numerators are 1924,2934
Denominators are 657,9966
The GCF of 1924,2934 is 2 .
LCM of 657,9966 is 2182554.
The greatest common factor of 1924/657,2934/9966 = [GCF of 1924,2934]/[LCM of 657,9966]= 2/2182554
Therefore, the GCF of 1924/657,2934/9966 is 2/2182554.
To find the highest common factor of 1924,2934, we have to find the factors of both numbers and list the highest common factor.
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934
The HCF of 1924,2934 is 2.
Lets's calculate GCF of 1924,2934
| 2 | 1924, 2934 |
| 962, 1467 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1924,2934 By Matching Biggest Common Factor Method
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Now, list down the factors of 2934
:1,2,3,6,9,18,163,326,489,978,1467,2934
Greatest Common Factor
We found the factors 1924,2934 . The biggest common factor number is the GCF number.
So the greatest common factor 1924,2934 is 2.
Lets's calculate LCM of 657,9966
| 3 | 657, 9966 |
| 219, 3322 |
∴ So the LCM of the given numbers is 3 x 219 x 3322 = 2182554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2182554
Therefore, the GCF of Fractions 1924/657,2934/9966 is 2/2182554
Least Common Multiple of 657,9966 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 657,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,9966) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,9966) x common factors =3 x 1 = 3
LCM(657,9966) = ( 657 × 9966 ) / 3
LCM(657,9966) = 6547662 / 3
LCM(657,9966) = 2182554
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FAQs on GCF of Fractions of 1924/657, 2934/9966
1. What is the HCF of 1924,2934?
The HCF of 1924,2934 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 1924/657, 2934/9966?
Answer: GCF of Numerators as per given numbers 1924/657, 2934/9966 is
GCF of Numerators i.e. for 1924,2934 is 2
LCM of denominators i.e. for 657,9966 is 2182554.
Thus, GCF of Fractions is 2/2182554.Finally, GCF of Fractions for 1924/657, 2934/9966 is 2/2182554.