GCF of 2049/689, 4312/1712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2049/689, 4312/1712 i.e 1/1179568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2049/689, 4312/1712.
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 2049/689,4312/1712?
Given fractions are 2049/689,4312/1712
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 2049/689,4312/1712, numerators are 2049,4312
Denominators are 689,1712
The GCF of 2049,4312 is 1 .
LCM of 689,1712 is 1179568.
The greatest common factor of 2049/689,4312/1712 = [GCF of 2049,4312]/[LCM of 689,1712]= 1/1179568
Therefore, the GCF of 2049/689,4312/1712 is 1/1179568.
To find the highest common factor of 2049,4312, we have to find the factors of both numbers and list the highest common factor.
The factors of 2049 are 1, 3, 683, 2049
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The HCF of 2049,4312 is 1.
Lets's calculate GCF of 2049,4312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2049,4312 By Matching Biggest Common Factor Method
Now, list down the factors of 2049
:1,3,683,2049
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 2049,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 2049,4312 is 1.
Lets's calculate LCM of 689,1712
Given numbers has no common factors except 1. So, there LCM is their product i.e 1179568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1179568
Therefore, the GCF of Fractions 2049/689,4312/1712 is 1/1179568
Least Common Multiple of 689,1712 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 689,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,1712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,1712) x common factors =1 x 1 = 1
LCM(689,1712) = ( 689 × 1712 ) / 1
LCM(689,1712) = 1179568 / 1
LCM(689,1712) = 1179568
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2049/689, 4312/1712
1. What is the HCF of 2049,4312?
The HCF of 2049,4312 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 2049/689, 4312/1712?
Answer: GCF of Numerators as per given numbers 2049/689, 4312/1712 is
GCF of Numerators i.e. for 2049,4312 is 1
LCM of denominators i.e. for 689,1712 is 1179568.
Thus, GCF of Fractions is 1/1179568.Finally, GCF of Fractions for 2049/689, 4312/1712 is 1/1179568.