GCF of 1784/551, 7870/2150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1784/551, 7870/2150 i.e 2/1184650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1784/551, 7870/2150.
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 1784/551,7870/2150?
Given fractions are 1784/551,7870/2150
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 1784/551,7870/2150, numerators are 1784,7870
Denominators are 551,2150
The GCF of 1784,7870 is 2 .
LCM of 551,2150 is 1184650.
The greatest common factor of 1784/551,7870/2150 = [GCF of 1784,7870]/[LCM of 551,2150]= 2/1184650
Therefore, the GCF of 1784/551,7870/2150 is 2/1184650.
To find the highest common factor of 1784,7870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
The HCF of 1784,7870 is 2.
Lets's calculate GCF of 1784,7870
| 2 | 1784, 7870 |
| 892, 3935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1784,7870 By Matching Biggest Common Factor Method
Now, list down the factors of 1784
:1,2,4,8,223,446,892,1784
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
Greatest Common Factor
We found the factors 1784,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 1784,7870 is 2.
Lets's calculate LCM of 551,2150
Given numbers has no common factors except 1. So, there LCM is their product i.e 1184650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1184650
Therefore, the GCF of Fractions 1784/551,7870/2150 is 2/1184650
Least Common Multiple of 551,2150 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 551,2150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,2150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,2150) x common factors =1 x 1 = 1
LCM(551,2150) = ( 551 × 2150 ) / 1
LCM(551,2150) = 1184650 / 1
LCM(551,2150) = 1184650
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FAQs on GCF of Fractions of 1784/551, 7870/2150
1. What is the HCF of 1784,7870?
The HCF of 1784,7870 is 2
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 1784/551, 7870/2150?
Answer: GCF of Numerators as per given numbers 1784/551, 7870/2150 is
GCF of Numerators i.e. for 1784,7870 is 2
LCM of denominators i.e. for 551,2150 is 1184650.
Thus, GCF of Fractions is 2/1184650.Finally, GCF of Fractions for 1784/551, 7870/2150 is 2/1184650.