GCF of 4207/559, 9932/1964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4207/559, 9932/1964 i.e 1/1097876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4207/559, 9932/1964.
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 4207/559,9932/1964?
Given fractions are 4207/559,9932/1964
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 4207/559,9932/1964, numerators are 4207,9932
Denominators are 559,1964
The GCF of 4207,9932 is 1 .
LCM of 559,1964 is 1097876.
The greatest common factor of 4207/559,9932/1964 = [GCF of 4207,9932]/[LCM of 559,1964]= 1/1097876
Therefore, the GCF of 4207/559,9932/1964 is 1/1097876.
To find the highest common factor of 4207,9932, we have to find the factors of both numbers and list the highest common factor.
The factors of 4207 are 1, 7, 601, 4207
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The HCF of 4207,9932 is 1.
Lets's calculate GCF of 4207,9932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4207,9932 By Matching Biggest Common Factor Method
Now, list down the factors of 4207
:1,7,601,4207
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Greatest Common Factor
We found the factors 4207,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 4207,9932 is 1.
Lets's calculate LCM of 559,1964
Given numbers has no common factors except 1. So, there LCM is their product i.e 1097876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1097876
Therefore, the GCF of Fractions 4207/559,9932/1964 is 1/1097876
Least Common Multiple of 559,1964 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 559,1964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,1964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,1964) x common factors =1 x 1 = 1
LCM(559,1964) = ( 559 × 1964 ) / 1
LCM(559,1964) = 1097876 / 1
LCM(559,1964) = 1097876
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FAQs on GCF of Fractions of 4207/559, 9932/1964
1. What is the HCF of 4207,9932?
The HCF of 4207,9932 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 4207/559, 9932/1964?
Answer: GCF of Numerators as per given numbers 4207/559, 9932/1964 is
GCF of Numerators i.e. for 4207,9932 is 1
LCM of denominators i.e. for 559,1964 is 1097876.
Thus, GCF of Fractions is 1/1097876.Finally, GCF of Fractions for 4207/559, 9932/1964 is 1/1097876.