GCF of 1112/564, 1749/5563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1112/564, 1749/5563 i.e 1/3137532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1112/564, 1749/5563.
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 1112/564,1749/5563?
Given fractions are 1112/564,1749/5563
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 1112/564,1749/5563, numerators are 1112,1749
Denominators are 564,5563
The GCF of 1112,1749 is 1 .
LCM of 564,5563 is 3137532.
The greatest common factor of 1112/564,1749/5563 = [GCF of 1112,1749]/[LCM of 564,5563]= 1/3137532
Therefore, the GCF of 1112/564,1749/5563 is 1/3137532.
To find the highest common factor of 1112,1749, we have to find the factors of both numbers and list the highest common factor.
The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 1112,1749 is 1.
Lets's calculate GCF of 1112,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1112,1749 By Matching Biggest Common Factor Method
Now, list down the factors of 1112
:1,2,4,8,139,278,556,1112
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 1112,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 1112,1749 is 1.
Lets's calculate LCM of 564,5563
Given numbers has no common factors except 1. So, there LCM is their product i.e 3137532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3137532
Therefore, the GCF of Fractions 1112/564,1749/5563 is 1/3137532
Least Common Multiple of 564,5563 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 564,5563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5563) x common factors =1 x 1 = 1
LCM(564,5563) = ( 564 × 5563 ) / 1
LCM(564,5563) = 3137532 / 1
LCM(564,5563) = 3137532
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FAQs on GCF of Fractions of 1112/564, 1749/5563
1. What is the HCF of 1112,1749?
The HCF of 1112,1749 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 1112/564, 1749/5563?
Answer: GCF of Numerators as per given numbers 1112/564, 1749/5563 is
GCF of Numerators i.e. for 1112,1749 is 1
LCM of denominators i.e. for 564,5563 is 3137532.
Thus, GCF of Fractions is 1/3137532.Finally, GCF of Fractions for 1112/564, 1749/5563 is 1/3137532.