GCF of 6930/680, 8985/940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6930/680, 8985/940 i.e 15/31960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6930/680, 8985/940.
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 6930/680,8985/940?
Given fractions are 6930/680,8985/940
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 6930/680,8985/940, numerators are 6930,8985
Denominators are 680,940
The GCF of 6930,8985 is 15 .
LCM of 680,940 is 31960.
The greatest common factor of 6930/680,8985/940 = [GCF of 6930,8985]/[LCM of 680,940]= 15/31960
Therefore, the GCF of 6930/680,8985/940 is 15/31960.
To find the highest common factor of 6930,8985, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985
The HCF of 6930,8985 is 15.
Lets's calculate GCF of 6930,8985
| 3 | 6930, 8985 |
| 5 | 2310, 2995 |
| 462, 599 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6930,8985 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8985
:1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors 6930,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 6930,8985 is 15.
Lets's calculate LCM of 680,940
| 2 | 680, 940 |
| 2 | 340, 470 |
| 5 | 170, 235 |
| 34, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 34 x 47 = 31960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/31960
Therefore, the GCF of Fractions 6930/680,8985/940 is 15/31960
Least Common Multiple of 680,940 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 680,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,940) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(680,940) x common factors =20 x 1 = 20
LCM(680,940) = ( 680 × 940 ) / 20
LCM(680,940) = 639200 / 20
LCM(680,940) = 31960
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FAQs on GCF of Fractions of 6930/680, 8985/940
1. What is the HCF of 6930,8985?
The HCF of 6930,8985 is 15
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 6930/680, 8985/940?
Answer: GCF of Numerators as per given numbers 6930/680, 8985/940 is
GCF of Numerators i.e. for 6930,8985 is 15
LCM of denominators i.e. for 680,940 is 31960.
Thus, GCF of Fractions is 15/31960.Finally, GCF of Fractions for 6930/680, 8985/940 is 15/31960.