GCF of 7261/527, 2004/9582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7261/527, 2004/9582 i.e 1/5049714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7261/527, 2004/9582.
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 7261/527,2004/9582?
Given fractions are 7261/527,2004/9582
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 7261/527,2004/9582, numerators are 7261,2004
Denominators are 527,9582
The GCF of 7261,2004 is 1 .
LCM of 527,9582 is 5049714.
The greatest common factor of 7261/527,2004/9582 = [GCF of 7261,2004]/[LCM of 527,9582]= 1/5049714
Therefore, the GCF of 7261/527,2004/9582 is 1/5049714.
To find the highest common factor of 7261,2004, we have to find the factors of both numbers and list the highest common factor.
The factors of 7261 are 1, 53, 137, 7261
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
The HCF of 7261,2004 is 1.
Lets's calculate GCF of 7261,2004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7261,2004 By Matching Biggest Common Factor Method
Now, list down the factors of 7261
:1,53,137,7261
Now, list down the factors of 2004
:1,2,3,4,6,12,167,334,501,668,1002,2004
Greatest Common Factor
We found the factors 7261,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 7261,2004 is 1.
Lets's calculate LCM of 527,9582
Given numbers has no common factors except 1. So, there LCM is their product i.e 5049714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5049714
Therefore, the GCF of Fractions 7261/527,2004/9582 is 1/5049714
Least Common Multiple of 527,9582 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 527,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,9582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,9582) x common factors =1 x 1 = 1
LCM(527,9582) = ( 527 × 9582 ) / 1
LCM(527,9582) = 5049714 / 1
LCM(527,9582) = 5049714
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FAQs on GCF of Fractions of 7261/527, 2004/9582
1. What is the HCF of 7261,2004?
The HCF of 7261,2004 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 7261/527, 2004/9582?
Answer: GCF of Numerators as per given numbers 7261/527, 2004/9582 is
GCF of Numerators i.e. for 7261,2004 is 1
LCM of denominators i.e. for 527,9582 is 5049714.
Thus, GCF of Fractions is 1/5049714.Finally, GCF of Fractions for 7261/527, 2004/9582 is 1/5049714.