GCF of 7472/264, 1869/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7472/264, 1869/757 i.e 1/199848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7472/264, 1869/757.
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 7472/264,1869/757?
Given fractions are 7472/264,1869/757
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 7472/264,1869/757, numerators are 7472,1869
Denominators are 264,757
The GCF of 7472,1869 is 1 .
LCM of 264,757 is 199848.
The greatest common factor of 7472/264,1869/757 = [GCF of 7472,1869]/[LCM of 264,757]= 1/199848
Therefore, the GCF of 7472/264,1869/757 is 1/199848.
To find the highest common factor of 7472,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 7472,1869 is 1.
Lets's calculate GCF of 7472,1869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7472,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 7472
:1,2,4,8,16,467,934,1868,3736,7472
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 7472,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 7472,1869 is 1.
Lets's calculate LCM of 264,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 199848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199848
Therefore, the GCF of Fractions 7472/264,1869/757 is 1/199848
Least Common Multiple of 264,757 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 264,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,757) x common factors =1 x 1 = 1
LCM(264,757) = ( 264 × 757 ) / 1
LCM(264,757) = 199848 / 1
LCM(264,757) = 199848
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FAQs on GCF of Fractions of 7472/264, 1869/757
1. What is the HCF of 7472,1869?
The HCF of 7472,1869 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 7472/264, 1869/757?
Answer: GCF of Numerators as per given numbers 7472/264, 1869/757 is
GCF of Numerators i.e. for 7472,1869 is 1
LCM of denominators i.e. for 264,757 is 199848.
Thus, GCF of Fractions is 1/199848.Finally, GCF of Fractions for 7472/264, 1869/757 is 1/199848.