GCF of 2207/820, 4772/8989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2207/820, 4772/8989 i.e 1/7370980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2207/820, 4772/8989.
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 2207/820,4772/8989?
Given fractions are 2207/820,4772/8989
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 2207/820,4772/8989, numerators are 2207,4772
Denominators are 820,8989
The GCF of 2207,4772 is 1 .
LCM of 820,8989 is 7370980.
The greatest common factor of 2207/820,4772/8989 = [GCF of 2207,4772]/[LCM of 820,8989]= 1/7370980
Therefore, the GCF of 2207/820,4772/8989 is 1/7370980.
To find the highest common factor of 2207,4772, we have to find the factors of both numbers and list the highest common factor.
The factors of 2207 are 1, 2207
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The HCF of 2207,4772 is 1.
Lets's calculate GCF of 2207,4772
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2207,4772 By Matching Biggest Common Factor Method
Now, list down the factors of 2207
:1,2207
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Greatest Common Factor
We found the factors 2207,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 2207,4772 is 1.
Lets's calculate LCM of 820,8989
Given numbers has no common factors except 1. So, there LCM is their product i.e 7370980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7370980
Therefore, the GCF of Fractions 2207/820,4772/8989 is 1/7370980
Least Common Multiple of 820,8989 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 820,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,8989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,8989) x common factors =1 x 1 = 1
LCM(820,8989) = ( 820 × 8989 ) / 1
LCM(820,8989) = 7370980 / 1
LCM(820,8989) = 7370980
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FAQs on GCF of Fractions of 2207/820, 4772/8989
1. What is the HCF of 2207,4772?
The HCF of 2207,4772 is 1
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 2207/820, 4772/8989?
Answer: GCF of Numerators as per given numbers 2207/820, 4772/8989 is
GCF of Numerators i.e. for 2207,4772 is 1
LCM of denominators i.e. for 820,8989 is 7370980.
Thus, GCF of Fractions is 1/7370980.Finally, GCF of Fractions for 2207/820, 4772/8989 is 1/7370980.