GCF of 1695/249, 1132/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1695/249, 1132/319 i.e 1/79431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1695/249, 1132/319.
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 1695/249,1132/319?
Given fractions are 1695/249,1132/319
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 1695/249,1132/319, numerators are 1695,1132
Denominators are 249,319
The GCF of 1695,1132 is 1 .
LCM of 249,319 is 79431.
The greatest common factor of 1695/249,1132/319 = [GCF of 1695,1132]/[LCM of 249,319]= 1/79431
Therefore, the GCF of 1695/249,1132/319 is 1/79431.
To find the highest common factor of 1695,1132, we have to find the factors of both numbers and list the highest common factor.
The factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The HCF of 1695,1132 is 1.
Lets's calculate GCF of 1695,1132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1695,1132 By Matching Biggest Common Factor Method
Now, list down the factors of 1695
:1,3,5,15,113,339,565,1695
Now, list down the factors of 1132
:1,2,4,283,566,1132
Greatest Common Factor
We found the factors 1695,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 1695,1132 is 1.
Lets's calculate LCM of 249,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 79431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79431
Therefore, the GCF of Fractions 1695/249,1132/319 is 1/79431
Least Common Multiple of 249,319 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 249,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,319) x common factors =1 x 1 = 1
LCM(249,319) = ( 249 × 319 ) / 1
LCM(249,319) = 79431 / 1
LCM(249,319) = 79431
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FAQs on GCF of Fractions of 1695/249, 1132/319
1. What is the HCF of 1695,1132?
The HCF of 1695,1132 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 1695/249, 1132/319?
Answer: GCF of Numerators as per given numbers 1695/249, 1132/319 is
GCF of Numerators i.e. for 1695,1132 is 1
LCM of denominators i.e. for 249,319 is 79431.
Thus, GCF of Fractions is 1/79431.Finally, GCF of Fractions for 1695/249, 1132/319 is 1/79431.