GCF of 9636/850, 3930/3074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9636/850, 3930/3074 i.e 6/1306450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9636/850, 3930/3074.
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 9636/850,3930/3074?
Given fractions are 9636/850,3930/3074
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 9636/850,3930/3074, numerators are 9636,3930
Denominators are 850,3074
The GCF of 9636,3930 is 6 .
LCM of 850,3074 is 1306450.
The greatest common factor of 9636/850,3930/3074 = [GCF of 9636,3930]/[LCM of 850,3074]= 6/1306450
Therefore, the GCF of 9636/850,3930/3074 is 6/1306450.
To find the highest common factor of 9636,3930, we have to find the factors of both numbers and list the highest common factor.
The factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636
The factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930
The HCF of 9636,3930 is 6.
Lets's calculate GCF of 9636,3930
| 2 | 9636, 3930 |
| 3 | 4818, 1965 |
| 1606, 655 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9636,3930 By Matching Biggest Common Factor Method
Now, list down the factors of 9636
:1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Now, list down the factors of 3930
:1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930
Greatest Common Factor
We found the factors 9636,3930 . The biggest common factor number is the GCF number.
So the greatest common factor 9636,3930 is 6.
Lets's calculate LCM of 850,3074
| 2 | 850, 3074 |
| 425, 1537 |
∴ So the LCM of the given numbers is 2 x 425 x 1537 = 1306450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1306450
Therefore, the GCF of Fractions 9636/850,3930/3074 is 6/1306450
Least Common Multiple of 850,3074 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 850,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,3074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,3074) x common factors =2 x 1 = 2
LCM(850,3074) = ( 850 × 3074 ) / 2
LCM(850,3074) = 2612900 / 2
LCM(850,3074) = 1306450
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FAQs on GCF of Fractions of 9636/850, 3930/3074
1. What is the HCF of 9636,3930?
The HCF of 9636,3930 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 9636/850, 3930/3074?
Answer: GCF of Numerators as per given numbers 9636/850, 3930/3074 is
GCF of Numerators i.e. for 9636,3930 is 6
LCM of denominators i.e. for 850,3074 is 1306450.
Thus, GCF of Fractions is 6/1306450.Finally, GCF of Fractions for 9636/850, 3930/3074 is 6/1306450.