GCF of 4231/757, 8789/2506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4231/757, 8789/2506 i.e 1/1897042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4231/757, 8789/2506.
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 4231/757,8789/2506?
Given fractions are 4231/757,8789/2506
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 4231/757,8789/2506, numerators are 4231,8789
Denominators are 757,2506
The GCF of 4231,8789 is 1 .
LCM of 757,2506 is 1897042.
The greatest common factor of 4231/757,8789/2506 = [GCF of 4231,8789]/[LCM of 757,2506]= 1/1897042
Therefore, the GCF of 4231/757,8789/2506 is 1/1897042.
To find the highest common factor of 4231,8789, we have to find the factors of both numbers and list the highest common factor.
The factors of 4231 are 1, 4231
The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789
The HCF of 4231,8789 is 1.
Lets's calculate GCF of 4231,8789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4231,8789 By Matching Biggest Common Factor Method
Now, list down the factors of 4231
:1,4231
Now, list down the factors of 8789
:1,11,17,47,187,517,799,8789
Greatest Common Factor
We found the factors 4231,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 4231,8789 is 1.
Lets's calculate LCM of 757,2506
Given numbers has no common factors except 1. So, there LCM is their product i.e 1897042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1897042
Therefore, the GCF of Fractions 4231/757,8789/2506 is 1/1897042
Least Common Multiple of 757,2506 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 757,2506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,2506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,2506) x common factors =1 x 1 = 1
LCM(757,2506) = ( 757 × 2506 ) / 1
LCM(757,2506) = 1897042 / 1
LCM(757,2506) = 1897042
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FAQs on GCF of Fractions of 4231/757, 8789/2506
1. What is the HCF of 4231,8789?
The HCF of 4231,8789 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 4231/757, 8789/2506?
Answer: GCF of Numerators as per given numbers 4231/757, 8789/2506 is
GCF of Numerators i.e. for 4231,8789 is 1
LCM of denominators i.e. for 757,2506 is 1897042.
Thus, GCF of Fractions is 1/1897042.Finally, GCF of Fractions for 4231/757, 8789/2506 is 1/1897042.