GCF of 9005/812, 6930/7162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9005/812, 6930/7162 i.e 5/2907772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9005/812, 6930/7162.
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 9005/812,6930/7162?
Given fractions are 9005/812,6930/7162
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 9005/812,6930/7162, numerators are 9005,6930
Denominators are 812,7162
The GCF of 9005,6930 is 5 .
LCM of 812,7162 is 2907772.
The greatest common factor of 9005/812,6930/7162 = [GCF of 9005,6930]/[LCM of 812,7162]= 5/2907772
Therefore, the GCF of 9005/812,6930/7162 is 5/2907772.
To find the highest common factor of 9005,6930, we have to find the factors of both numbers and list the highest common factor.
The factors of 9005 are 1, 5, 1801, 9005
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 9005,6930 is 5.
Lets's calculate GCF of 9005,6930
| 5 | 9005, 6930 |
| 1801, 1386 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9005,6930 By Matching Biggest Common Factor Method
Now, list down the factors of 9005
:1,5,1801,9005
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 9005,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 9005,6930 is 5.
Lets's calculate LCM of 812,7162
| 2 | 812, 7162 |
| 406, 3581 |
∴ So the LCM of the given numbers is 2 x 406 x 3581 = 2907772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2907772
Therefore, the GCF of Fractions 9005/812,6930/7162 is 5/2907772
Least Common Multiple of 812,7162 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 812,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,7162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,7162) x common factors =2 x 1 = 2
LCM(812,7162) = ( 812 × 7162 ) / 2
LCM(812,7162) = 5815544 / 2
LCM(812,7162) = 2907772
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FAQs on GCF of Fractions of 9005/812, 6930/7162
1. What is the HCF of 9005,6930?
The HCF of 9005,6930 is 5
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 9005/812, 6930/7162?
Answer: GCF of Numerators as per given numbers 9005/812, 6930/7162 is
GCF of Numerators i.e. for 9005,6930 is 5
LCM of denominators i.e. for 812,7162 is 2907772.
Thus, GCF of Fractions is 5/2907772.Finally, GCF of Fractions for 9005/812, 6930/7162 is 5/2907772.