GCF of 7504/584, 2127/6025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7504/584, 2127/6025 i.e 1/3518600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7504/584, 2127/6025.
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 7504/584,2127/6025?
Given fractions are 7504/584,2127/6025
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 7504/584,2127/6025, numerators are 7504,2127
Denominators are 584,6025
The GCF of 7504,2127 is 1 .
LCM of 584,6025 is 3518600.
The greatest common factor of 7504/584,2127/6025 = [GCF of 7504,2127]/[LCM of 584,6025]= 1/3518600
Therefore, the GCF of 7504/584,2127/6025 is 1/3518600.
To find the highest common factor of 7504,2127, we have to find the factors of both numbers and list the highest common factor.
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The factors of 2127 are 1, 3, 709, 2127
The HCF of 7504,2127 is 1.
Lets's calculate GCF of 7504,2127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7504,2127 By Matching Biggest Common Factor Method
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Now, list down the factors of 2127
:1,3,709,2127
Greatest Common Factor
We found the factors 7504,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 7504,2127 is 1.
Lets's calculate LCM of 584,6025
Given numbers has no common factors except 1. So, there LCM is their product i.e 3518600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3518600
Therefore, the GCF of Fractions 7504/584,2127/6025 is 1/3518600
Least Common Multiple of 584,6025 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 584,6025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,6025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,6025) x common factors =1 x 1 = 1
LCM(584,6025) = ( 584 × 6025 ) / 1
LCM(584,6025) = 3518600 / 1
LCM(584,6025) = 3518600
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FAQs on GCF of Fractions of 7504/584, 2127/6025
1. What is the HCF of 7504,2127?
The HCF of 7504,2127 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 7504/584, 2127/6025?
Answer: GCF of Numerators as per given numbers 7504/584, 2127/6025 is
GCF of Numerators i.e. for 7504,2127 is 1
LCM of denominators i.e. for 584,6025 is 3518600.
Thus, GCF of Fractions is 1/3518600.Finally, GCF of Fractions for 7504/584, 2127/6025 is 1/3518600.