GCF of 924/14, 292/3082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 924/14, 292/3082 i.e 4/21574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/14, 292/3082.
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 924/14,292/3082?
Given fractions are 924/14,292/3082
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 924/14,292/3082, numerators are 924,292
Denominators are 14,3082
The GCF of 924,292 is 4 .
LCM of 14,3082 is 21574.
The greatest common factor of 924/14,292/3082 = [GCF of 924,292]/[LCM of 14,3082]= 4/21574
Therefore, the GCF of 924/14,292/3082 is 4/21574.
To find the highest common factor of 924,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 924,292 is 4.
Lets's calculate GCF of 924,292
| 2 | 924, 292 |
| 2 | 462, 146 |
| 231, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 924,292 By Matching Biggest Common Factor Method
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 924,292 . The biggest common factor number is the GCF number.
So the greatest common factor 924,292 is 4.
Lets's calculate LCM of 14,3082
| 2 | 14, 3082 |
| 7, 1541 |
∴ So the LCM of the given numbers is 2 x 7 x 1541 = 21574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21574
Therefore, the GCF of Fractions 924/14,292/3082 is 4/21574
Least Common Multiple of 14,3082 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 14,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,3082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,3082) x common factors =2 x 1 = 2
LCM(14,3082) = ( 14 × 3082 ) / 2
LCM(14,3082) = 43148 / 2
LCM(14,3082) = 21574
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FAQs on GCF of Fractions of 924/14, 292/3082
1. What is the HCF of 924,292?
The HCF of 924,292 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 924/14, 292/3082?
Answer: GCF of Numerators as per given numbers 924/14, 292/3082 is
GCF of Numerators i.e. for 924,292 is 4
LCM of denominators i.e. for 14,3082 is 21574.
Thus, GCF of Fractions is 4/21574.Finally, GCF of Fractions for 924/14, 292/3082 is 4/21574.