GCF of 942/44, 768/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 942/44, 768/209 i.e 6/836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/44, 768/209.
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 942/44,768/209?
Given fractions are 942/44,768/209
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 942/44,768/209, numerators are 942,768
Denominators are 44,209
The GCF of 942,768 is 6 .
LCM of 44,209 is 836.
The greatest common factor of 942/44,768/209 = [GCF of 942,768]/[LCM of 44,209]= 6/836
Therefore, the GCF of 942/44,768/209 is 6/836.
To find the highest common factor of 942,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 942,768 is 6.
Lets's calculate GCF of 942,768
| 2 | 942, 768 |
| 3 | 471, 384 |
| 157, 128 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 942,768 By Matching Biggest Common Factor Method
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 942,768 . The biggest common factor number is the GCF number.
So the greatest common factor 942,768 is 6.
Lets's calculate LCM of 44,209
| 11 | 44, 209 |
| 4, 19 |
∴ So the LCM of the given numbers is 11 x 4 x 19 = 836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/836
Therefore, the GCF of Fractions 942/44,768/209 is 6/836
Least Common Multiple of 44,209 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 44,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,209) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(44,209) x common factors =11 x 1 = 11
LCM(44,209) = ( 44 × 209 ) / 11
LCM(44,209) = 9196 / 11
LCM(44,209) = 836
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FAQs on GCF of Fractions of 942/44, 768/209
1. What is the HCF of 942,768?
The HCF of 942,768 is 6
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 942/44, 768/209?
Answer: GCF of Numerators as per given numbers 942/44, 768/209 is
GCF of Numerators i.e. for 942,768 is 6
LCM of denominators i.e. for 44,209 is 836.
Thus, GCF of Fractions is 6/836.Finally, GCF of Fractions for 942/44, 768/209 is 6/836.