GCF of 4412/249, 2071/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4412/249, 2071/755 i.e 1/187995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4412/249, 2071/755.
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 4412/249,2071/755?
Given fractions are 4412/249,2071/755
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 4412/249,2071/755, numerators are 4412,2071
Denominators are 249,755
The GCF of 4412,2071 is 1 .
LCM of 249,755 is 187995.
The greatest common factor of 4412/249,2071/755 = [GCF of 4412,2071]/[LCM of 249,755]= 1/187995
Therefore, the GCF of 4412/249,2071/755 is 1/187995.
To find the highest common factor of 4412,2071, we have to find the factors of both numbers and list the highest common factor.
The factors of 4412 are 1, 2, 4, 1103, 2206, 4412
The factors of 2071 are 1, 19, 109, 2071
The HCF of 4412,2071 is 1.
Lets's calculate GCF of 4412,2071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4412,2071 By Matching Biggest Common Factor Method
Now, list down the factors of 4412
:1,2,4,1103,2206,4412
Now, list down the factors of 2071
:1,19,109,2071
Greatest Common Factor
We found the factors 4412,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,2071 is 1.
Lets's calculate LCM of 249,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 187995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187995
Therefore, the GCF of Fractions 4412/249,2071/755 is 1/187995
Least Common Multiple of 249,755 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 249,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,755) x common factors =1 x 1 = 1
LCM(249,755) = ( 249 × 755 ) / 1
LCM(249,755) = 187995 / 1
LCM(249,755) = 187995
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FAQs on GCF of Fractions of 4412/249, 2071/755
1. What is the HCF of 4412,2071?
The HCF of 4412,2071 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 4412/249, 2071/755?
Answer: GCF of Numerators as per given numbers 4412/249, 2071/755 is
GCF of Numerators i.e. for 4412,2071 is 1
LCM of denominators i.e. for 249,755 is 187995.
Thus, GCF of Fractions is 1/187995.Finally, GCF of Fractions for 4412/249, 2071/755 is 1/187995.