GCF of 9186/781, 6930/4929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9186/781, 6930/4929 i.e 6/3849549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9186/781, 6930/4929.
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 9186/781,6930/4929?
Given fractions are 9186/781,6930/4929
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 9186/781,6930/4929, numerators are 9186,6930
Denominators are 781,4929
The GCF of 9186,6930 is 6 .
LCM of 781,4929 is 3849549.
The greatest common factor of 9186/781,6930/4929 = [GCF of 9186,6930]/[LCM of 781,4929]= 6/3849549
Therefore, the GCF of 9186/781,6930/4929 is 6/3849549.
To find the highest common factor of 9186,6930, we have to find the factors of both numbers and list the highest common factor.
The factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186
The factors of 6930 are 1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930
The HCF of 9186,6930 is 6.
Lets's calculate GCF of 9186,6930
| 2 | 9186, 6930 |
| 3 | 4593, 3465 |
| 1531, 1155 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9186,6930 By Matching Biggest Common Factor Method
Now, list down the factors of 9186
:1,2,3,6,1531,3062,4593,9186
Now, list down the factors of 6930
:1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930
Greatest Common Factor
We found the factors 9186,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 9186,6930 is 6.
Lets's calculate LCM of 781,4929
Given numbers has no common factors except 1. So, there LCM is their product i.e 3849549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3849549
Therefore, the GCF of Fractions 9186/781,6930/4929 is 6/3849549
Least Common Multiple of 781,4929 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 781,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,4929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,4929) x common factors =1 x 1 = 1
LCM(781,4929) = ( 781 × 4929 ) / 1
LCM(781,4929) = 3849549 / 1
LCM(781,4929) = 3849549
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FAQs on GCF of Fractions of 9186/781, 6930/4929
1. What is the HCF of 9186,6930?
The HCF of 9186,6930 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 9186/781, 6930/4929?
Answer: GCF of Numerators as per given numbers 9186/781, 6930/4929 is
GCF of Numerators i.e. for 9186,6930 is 6
LCM of denominators i.e. for 781,4929 is 3849549.
Thus, GCF of Fractions is 6/3849549.Finally, GCF of Fractions for 9186/781, 6930/4929 is 6/3849549.