GCF of 3780/816, 9835/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3780/816, 9835/492 i.e 35/33456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3780/816, 9835/492.
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 3780/816,9835/492?
Given fractions are 3780/816,9835/492
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 3780/816,9835/492, numerators are 3780,9835
Denominators are 816,492
The GCF of 3780,9835 is 35 .
LCM of 816,492 is 33456.
The greatest common factor of 3780/816,9835/492 = [GCF of 3780,9835]/[LCM of 816,492]= 35/33456
Therefore, the GCF of 3780/816,9835/492 is 35/33456.
To find the highest common factor of 3780,9835, we have to find the factors of both numbers and list the highest common factor.
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835
The HCF of 3780,9835 is 35.
Lets's calculate GCF of 3780,9835
| 5 | 3780, 9835 |
| 7 | 756, 1967 |
| 108, 281 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 3780,9835 By Matching Biggest Common Factor Method
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Now, list down the factors of 9835
:1,5,7,35,281,1405,1967,9835
Greatest Common Factor
We found the factors 3780,9835 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,9835 is 35.
Lets's calculate LCM of 816,492
| 2 | 816, 492 |
| 2 | 408, 246 |
| 3 | 204, 123 |
| 68, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 68 x 41 = 33456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/33456
Therefore, the GCF of Fractions 3780/816,9835/492 is 35/33456
Least Common Multiple of 816,492 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 816,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,492) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(816,492) x common factors =12 x 1 = 12
LCM(816,492) = ( 816 × 492 ) / 12
LCM(816,492) = 401472 / 12
LCM(816,492) = 33456
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FAQs on GCF of Fractions of 3780/816, 9835/492
1. What is the HCF of 3780,9835?
The HCF of 3780,9835 is 35
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 3780/816, 9835/492?
Answer: GCF of Numerators as per given numbers 3780/816, 9835/492 is
GCF of Numerators i.e. for 3780,9835 is 35
LCM of denominators i.e. for 816,492 is 33456.
Thus, GCF of Fractions is 35/33456.Finally, GCF of Fractions for 3780/816, 9835/492 is 35/33456.