GCF of 2245/986, 8680/559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2245/986, 8680/559 i.e 5/551174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2245/986, 8680/559.
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 2245/986,8680/559?
Given fractions are 2245/986,8680/559
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 2245/986,8680/559, numerators are 2245,8680
Denominators are 986,559
The GCF of 2245,8680 is 5 .
LCM of 986,559 is 551174.
The greatest common factor of 2245/986,8680/559 = [GCF of 2245,8680]/[LCM of 986,559]= 5/551174
Therefore, the GCF of 2245/986,8680/559 is 5/551174.
To find the highest common factor of 2245,8680, we have to find the factors of both numbers and list the highest common factor.
The factors of 2245 are 1, 5, 449, 2245
The factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
The HCF of 2245,8680 is 5.
Lets's calculate GCF of 2245,8680
| 5 | 2245, 8680 |
| 449, 1736 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2245,8680 By Matching Biggest Common Factor Method
Now, list down the factors of 2245
:1,5,449,2245
Now, list down the factors of 8680
:1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Greatest Common Factor
We found the factors 2245,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 2245,8680 is 5.
Lets's calculate LCM of 986,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 551174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/551174
Therefore, the GCF of Fractions 2245/986,8680/559 is 5/551174
Least Common Multiple of 986,559 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 986,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,559) x common factors =1 x 1 = 1
LCM(986,559) = ( 986 × 559 ) / 1
LCM(986,559) = 551174 / 1
LCM(986,559) = 551174
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FAQs on GCF of Fractions of 2245/986, 8680/559
1. What is the HCF of 2245,8680?
The HCF of 2245,8680 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 2245/986, 8680/559?
Answer: GCF of Numerators as per given numbers 2245/986, 8680/559 is
GCF of Numerators i.e. for 2245,8680 is 5
LCM of denominators i.e. for 986,559 is 551174.
Thus, GCF of Fractions is 5/551174.Finally, GCF of Fractions for 2245/986, 8680/559 is 5/551174.