GCF of 76/28, 378/87, 900/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 76/28, 378/87, 900/885 i.e 2/718620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/28, 378/87, 900/885.
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 76/28,378/87,900/885?
Given fractions are 76/28,378/87,900/885
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 76/28,378/87,900/885, numerators are 76,378,900
Denominators are 28,87,885
The GCF of 76,378,900 is 2 .
LCM of 28,87,885 is 718620.
The greatest common factor of 76/28,378/87,900/885 = [GCF of 76,378,900]/[LCM of 28,87,885]= 2/718620
Therefore, the GCF of 76/28,378/87,900/885 is 2/718620.
To find the highest common factor of 76,378,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 76,378,900 is 2.
Lets's calculate GCF of 76,378,900
| 2 | 76, 378, 900 |
| 38, 189, 450 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 76,378,900 By Matching Biggest Common Factor Method
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 76,378,900 . The biggest common factor number is the GCF number.
So the greatest common factor 76,378,900 is 2.
Lets's calculate LCM of 28,87,885
| 3 | 28, 87, 885 |
| 28, 29, 295 |
∴ So the LCM of the given numbers is 3 x 28 x 29 x 295 = 718620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/718620
Therefore, the GCF of Fractions 76/28,378/87,900/885 is 2/718620
Least Common Multiple of 28,87,885 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 28,87,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,87,885) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(28,87,885) x common factors =1 x 3 = 3
LCM(28,87,885) = ( 28 × 87 × 885 ) / 3
LCM(28,87,885) = 2155860 / 3
LCM(28,87,885) = 718620
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FAQs on GCF of Fractions of 76/28, 378/87, 900/885
1. What is the HCF of 76,378,900?
The HCF of 76,378,900 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 76/28, 378/87, 900/885?
Answer: GCF of Numerators as per given numbers 76/28, 378/87, 900/885 is
GCF of Numerators i.e. for 76,378,900 is 2
LCM of denominators i.e. for 28,87,885 is 718620.
Thus, GCF of Fractions is 2/718620.Finally, GCF of Fractions for 76/28, 378/87, 900/885 is 2/718620.