GCF of 4996/912, 9422/1680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4996/912, 9422/1680 i.e 2/31920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4996/912, 9422/1680.
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 4996/912,9422/1680?
Given fractions are 4996/912,9422/1680
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 4996/912,9422/1680, numerators are 4996,9422
Denominators are 912,1680
The GCF of 4996,9422 is 2 .
LCM of 912,1680 is 31920.
The greatest common factor of 4996/912,9422/1680 = [GCF of 4996,9422]/[LCM of 912,1680]= 2/31920
Therefore, the GCF of 4996/912,9422/1680 is 2/31920.
To find the highest common factor of 4996,9422, we have to find the factors of both numbers and list the highest common factor.
The factors of 4996 are 1, 2, 4, 1249, 2498, 4996
The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422
The HCF of 4996,9422 is 2.
Lets's calculate GCF of 4996,9422
| 2 | 4996, 9422 |
| 2498, 4711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4996,9422 By Matching Biggest Common Factor Method
Now, list down the factors of 4996
:1,2,4,1249,2498,4996
Now, list down the factors of 9422
:1,2,7,14,673,1346,4711,9422
Greatest Common Factor
We found the factors 4996,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 4996,9422 is 2.
Lets's calculate LCM of 912,1680
| 2 | 912, 1680 |
| 2 | 456, 840 |
| 2 | 228, 420 |
| 2 | 114, 210 |
| 3 | 57, 105 |
| 19, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 35 = 31920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31920
Therefore, the GCF of Fractions 4996/912,9422/1680 is 2/31920
Least Common Multiple of 912,1680 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 912,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,1680) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(912,1680) x common factors =48 x 1 = 48
LCM(912,1680) = ( 912 × 1680 ) / 48
LCM(912,1680) = 1532160 / 48
LCM(912,1680) = 31920
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FAQs on GCF of Fractions of 4996/912, 9422/1680
1. What is the HCF of 4996,9422?
The HCF of 4996,9422 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 4996/912, 9422/1680?
Answer: GCF of Numerators as per given numbers 4996/912, 9422/1680 is
GCF of Numerators i.e. for 4996,9422 is 2
LCM of denominators i.e. for 912,1680 is 31920.
Thus, GCF of Fractions is 2/31920.Finally, GCF of Fractions for 4996/912, 9422/1680 is 2/31920.