GCF of 28/22, 939/76, 994/901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/22, 939/76, 994/901 i.e 1/753236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/22, 939/76, 994/901.
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 28/22,939/76,994/901?
Given fractions are 28/22,939/76,994/901
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 28/22,939/76,994/901, numerators are 28,939,994
Denominators are 22,76,901
The GCF of 28,939,994 is 1 .
LCM of 22,76,901 is 753236.
The greatest common factor of 28/22,939/76,994/901 = [GCF of 28,939,994]/[LCM of 22,76,901]= 1/753236
Therefore, the GCF of 28/22,939/76,994/901 is 1/753236.
To find the highest common factor of 28,939,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 939 are 1, 3, 313, 939
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 28,939,994 is 1.
Lets's calculate GCF of 28,939,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,939,994 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 28,939,994 . The biggest common factor number is the GCF number.
So the greatest common factor 28,939,994 is 1.
Lets's calculate LCM of 22,76,901
| 2 | 22, 76, 901 |
| 11, 38, 901 |
∴ So the LCM of the given numbers is 2 x 11 x 38 x 901 = 753236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753236
Therefore, the GCF of Fractions 28/22,939/76,994/901 is 1/753236
Least Common Multiple of 22,76,901 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 22,76,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,76,901) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,76,901) x common factors =1 x 2 = 2
LCM(22,76,901) = ( 22 × 76 × 901 ) / 2
LCM(22,76,901) = 1506472 / 2
LCM(22,76,901) = 753236
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FAQs on GCF of Fractions of 28/22, 939/76, 994/901
1. What is the HCF of 28,939,994?
The HCF of 28,939,994 is 1
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 28/22, 939/76, 994/901?
Answer: GCF of Numerators as per given numbers 28/22, 939/76, 994/901 is
GCF of Numerators i.e. for 28,939,994 is 1
LCM of denominators i.e. for 22,76,901 is 753236.
Thus, GCF of Fractions is 1/753236.Finally, GCF of Fractions for 28/22, 939/76, 994/901 is 1/753236.