GCF of 2345/986, 2820/7270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2345/986, 2820/7270 i.e 5/3584110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2345/986, 2820/7270.
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 2345/986,2820/7270?
Given fractions are 2345/986,2820/7270
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 2345/986,2820/7270, numerators are 2345,2820
Denominators are 986,7270
The GCF of 2345,2820 is 5 .
LCM of 986,7270 is 3584110.
The greatest common factor of 2345/986,2820/7270 = [GCF of 2345,2820]/[LCM of 986,7270]= 5/3584110
Therefore, the GCF of 2345/986,2820/7270 is 5/3584110.
To find the highest common factor of 2345,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 2345,2820 is 5.
Lets's calculate GCF of 2345,2820
| 5 | 2345, 2820 |
| 469, 564 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2345,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 2345
:1,5,7,35,67,335,469,2345
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 2345,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 2345,2820 is 5.
Lets's calculate LCM of 986,7270
| 2 | 986, 7270 |
| 493, 3635 |
∴ So the LCM of the given numbers is 2 x 493 x 3635 = 3584110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3584110
Therefore, the GCF of Fractions 2345/986,2820/7270 is 5/3584110
Least Common Multiple of 986,7270 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 986,7270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,7270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,7270) x common factors =2 x 1 = 2
LCM(986,7270) = ( 986 × 7270 ) / 2
LCM(986,7270) = 7168220 / 2
LCM(986,7270) = 3584110
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2345/986, 2820/7270
1. What is the HCF of 2345,2820?
The HCF of 2345,2820 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 2345/986, 2820/7270?
Answer: GCF of Numerators as per given numbers 2345/986, 2820/7270 is
GCF of Numerators i.e. for 2345,2820 is 5
LCM of denominators i.e. for 986,7270 is 3584110.
Thus, GCF of Fractions is 5/3584110.Finally, GCF of Fractions for 2345/986, 2820/7270 is 5/3584110.