GCF of 5612/457, 8249/1070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5612/457, 8249/1070 i.e 1/488990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5612/457, 8249/1070.
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 5612/457,8249/1070?
Given fractions are 5612/457,8249/1070
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 5612/457,8249/1070, numerators are 5612,8249
Denominators are 457,1070
The GCF of 5612,8249 is 1 .
LCM of 457,1070 is 488990.
The greatest common factor of 5612/457,8249/1070 = [GCF of 5612,8249]/[LCM of 457,1070]= 1/488990
Therefore, the GCF of 5612/457,8249/1070 is 1/488990.
To find the highest common factor of 5612,8249, we have to find the factors of both numbers and list the highest common factor.
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The factors of 8249 are 1, 73, 113, 8249
The HCF of 5612,8249 is 1.
Lets's calculate GCF of 5612,8249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5612,8249 By Matching Biggest Common Factor Method
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Now, list down the factors of 8249
:1,73,113,8249
Greatest Common Factor
We found the factors 5612,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 5612,8249 is 1.
Lets's calculate LCM of 457,1070
Given numbers has no common factors except 1. So, there LCM is their product i.e 488990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488990
Therefore, the GCF of Fractions 5612/457,8249/1070 is 1/488990
Least Common Multiple of 457,1070 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 457,1070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,1070) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,1070) x common factors =1 x 1 = 1
LCM(457,1070) = ( 457 × 1070 ) / 1
LCM(457,1070) = 488990 / 1
LCM(457,1070) = 488990
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FAQs on GCF of Fractions of 5612/457, 8249/1070
1. What is the HCF of 5612,8249?
The HCF of 5612,8249 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 5612/457, 8249/1070?
Answer: GCF of Numerators as per given numbers 5612/457, 8249/1070 is
GCF of Numerators i.e. for 5612,8249 is 1
LCM of denominators i.e. for 457,1070 is 488990.
Thus, GCF of Fractions is 1/488990.Finally, GCF of Fractions for 5612/457, 8249/1070 is 1/488990.