GCF of 7370/820, 8894/1683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7370/820, 8894/1683 i.e 2/1380060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7370/820, 8894/1683.
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 7370/820,8894/1683?
Given fractions are 7370/820,8894/1683
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 7370/820,8894/1683, numerators are 7370,8894
Denominators are 820,1683
The GCF of 7370,8894 is 2 .
LCM of 820,1683 is 1380060.
The greatest common factor of 7370/820,8894/1683 = [GCF of 7370,8894]/[LCM of 820,1683]= 2/1380060
Therefore, the GCF of 7370/820,8894/1683 is 2/1380060.
To find the highest common factor of 7370,8894, we have to find the factors of both numbers and list the highest common factor.
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The factors of 8894 are 1, 2, 4447, 8894
The HCF of 7370,8894 is 2.
Lets's calculate GCF of 7370,8894
| 2 | 7370, 8894 |
| 3685, 4447 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7370,8894 By Matching Biggest Common Factor Method
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Now, list down the factors of 8894
:1,2,4447,8894
Greatest Common Factor
We found the factors 7370,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,8894 is 2.
Lets's calculate LCM of 820,1683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1380060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1380060
Therefore, the GCF of Fractions 7370/820,8894/1683 is 2/1380060
Least Common Multiple of 820,1683 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 820,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,1683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,1683) x common factors =1 x 1 = 1
LCM(820,1683) = ( 820 × 1683 ) / 1
LCM(820,1683) = 1380060 / 1
LCM(820,1683) = 1380060
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FAQs on GCF of Fractions of 7370/820, 8894/1683
1. What is the HCF of 7370,8894?
The HCF of 7370,8894 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 7370/820, 8894/1683?
Answer: GCF of Numerators as per given numbers 7370/820, 8894/1683 is
GCF of Numerators i.e. for 7370,8894 is 2
LCM of denominators i.e. for 820,1683 is 1380060.
Thus, GCF of Fractions is 2/1380060.Finally, GCF of Fractions for 7370/820, 8894/1683 is 2/1380060.