GCF of 7805/237, 6160/1469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7805/237, 6160/1469 i.e 35/348153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7805/237, 6160/1469.
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 7805/237,6160/1469?
Given fractions are 7805/237,6160/1469
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 7805/237,6160/1469, numerators are 7805,6160
Denominators are 237,1469
The GCF of 7805,6160 is 35 .
LCM of 237,1469 is 348153.
The greatest common factor of 7805/237,6160/1469 = [GCF of 7805,6160]/[LCM of 237,1469]= 35/348153
Therefore, the GCF of 7805/237,6160/1469 is 35/348153.
To find the highest common factor of 7805,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 7805,6160 is 35.
Lets's calculate GCF of 7805,6160
| 5 | 7805, 6160 |
| 7 | 1561, 1232 |
| 223, 176 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 7805,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 7805
:1,5,7,35,223,1115,1561,7805
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 7805,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 7805,6160 is 35.
Lets's calculate LCM of 237,1469
Given numbers has no common factors except 1. So, there LCM is their product i.e 348153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/348153
Therefore, the GCF of Fractions 7805/237,6160/1469 is 35/348153
Least Common Multiple of 237,1469 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 237,1469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,1469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,1469) x common factors =1 x 1 = 1
LCM(237,1469) = ( 237 × 1469 ) / 1
LCM(237,1469) = 348153 / 1
LCM(237,1469) = 348153
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7805/237, 6160/1469
1. What is the HCF of 7805,6160?
The HCF of 7805,6160 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 7805/237, 6160/1469?
Answer: GCF of Numerators as per given numbers 7805/237, 6160/1469 is
GCF of Numerators i.e. for 7805,6160 is 35
LCM of denominators i.e. for 237,1469 is 348153.
Thus, GCF of Fractions is 35/348153.Finally, GCF of Fractions for 7805/237, 6160/1469 is 35/348153.