GCF of 9902/934, 1574/6501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9902/934, 1574/6501 i.e 2/6071934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9902/934, 1574/6501.
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 9902/934,1574/6501?
Given fractions are 9902/934,1574/6501
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 9902/934,1574/6501, numerators are 9902,1574
Denominators are 934,6501
The GCF of 9902,1574 is 2 .
LCM of 934,6501 is 6071934.
The greatest common factor of 9902/934,1574/6501 = [GCF of 9902,1574]/[LCM of 934,6501]= 2/6071934
Therefore, the GCF of 9902/934,1574/6501 is 2/6071934.
To find the highest common factor of 9902,1574, we have to find the factors of both numbers and list the highest common factor.
The factors of 9902 are 1, 2, 4951, 9902
The factors of 1574 are 1, 2, 787, 1574
The HCF of 9902,1574 is 2.
Lets's calculate GCF of 9902,1574
| 2 | 9902, 1574 |
| 4951, 787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9902,1574 By Matching Biggest Common Factor Method
Now, list down the factors of 9902
:1,2,4951,9902
Now, list down the factors of 1574
:1,2,787,1574
Greatest Common Factor
We found the factors 9902,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 9902,1574 is 2.
Lets's calculate LCM of 934,6501
Given numbers has no common factors except 1. So, there LCM is their product i.e 6071934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6071934
Therefore, the GCF of Fractions 9902/934,1574/6501 is 2/6071934
Least Common Multiple of 934,6501 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 934,6501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,6501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,6501) x common factors =1 x 1 = 1
LCM(934,6501) = ( 934 × 6501 ) / 1
LCM(934,6501) = 6071934 / 1
LCM(934,6501) = 6071934
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FAQs on GCF of Fractions of 9902/934, 1574/6501
1. What is the HCF of 9902,1574?
The HCF of 9902,1574 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 9902/934, 1574/6501?
Answer: GCF of Numerators as per given numbers 9902/934, 1574/6501 is
GCF of Numerators i.e. for 9902,1574 is 2
LCM of denominators i.e. for 934,6501 is 6071934.
Thus, GCF of Fractions is 2/6071934.Finally, GCF of Fractions for 9902/934, 1574/6501 is 2/6071934.