GCF of 8490/944, 1750/5499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8490/944, 1750/5499 i.e 10/5191056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8490/944, 1750/5499.
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 8490/944,1750/5499?
Given fractions are 8490/944,1750/5499
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 8490/944,1750/5499, numerators are 8490,1750
Denominators are 944,5499
The GCF of 8490,1750 is 10 .
LCM of 944,5499 is 5191056.
The greatest common factor of 8490/944,1750/5499 = [GCF of 8490,1750]/[LCM of 944,5499]= 10/5191056
Therefore, the GCF of 8490/944,1750/5499 is 10/5191056.
To find the highest common factor of 8490,1750, we have to find the factors of both numbers and list the highest common factor.
The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The HCF of 8490,1750 is 10.
Lets's calculate GCF of 8490,1750
| 2 | 8490, 1750 |
| 5 | 4245, 875 |
| 849, 175 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8490,1750 By Matching Biggest Common Factor Method
Now, list down the factors of 8490
:1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 8490,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,1750 is 10.
Lets's calculate LCM of 944,5499
Given numbers has no common factors except 1. So, there LCM is their product i.e 5191056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5191056
Therefore, the GCF of Fractions 8490/944,1750/5499 is 10/5191056
Least Common Multiple of 944,5499 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 944,5499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,5499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,5499) x common factors =1 x 1 = 1
LCM(944,5499) = ( 944 × 5499 ) / 1
LCM(944,5499) = 5191056 / 1
LCM(944,5499) = 5191056
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FAQs on GCF of Fractions of 8490/944, 1750/5499
1. What is the HCF of 8490,1750?
The HCF of 8490,1750 is 10
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 8490/944, 1750/5499?
Answer: GCF of Numerators as per given numbers 8490/944, 1750/5499 is
GCF of Numerators i.e. for 8490,1750 is 10
LCM of denominators i.e. for 944,5499 is 5191056.
Thus, GCF of Fractions is 10/5191056.Finally, GCF of Fractions for 8490/944, 1750/5499 is 10/5191056.