GCF of 3024/692, 4687/191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3024/692, 4687/191 i.e 1/132172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3024/692, 4687/191.
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 3024/692,4687/191?
Given fractions are 3024/692,4687/191
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 3024/692,4687/191, numerators are 3024,4687
Denominators are 692,191
The GCF of 3024,4687 is 1 .
LCM of 692,191 is 132172.
The greatest common factor of 3024/692,4687/191 = [GCF of 3024,4687]/[LCM of 692,191]= 1/132172
Therefore, the GCF of 3024/692,4687/191 is 1/132172.
To find the highest common factor of 3024,4687, we have to find the factors of both numbers and list the highest common factor.
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The factors of 4687 are 1, 43, 109, 4687
The HCF of 3024,4687 is 1.
Lets's calculate GCF of 3024,4687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3024,4687 By Matching Biggest Common Factor Method
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Now, list down the factors of 4687
:1,43,109,4687
Greatest Common Factor
We found the factors 3024,4687 . The biggest common factor number is the GCF number.
So the greatest common factor 3024,4687 is 1.
Lets's calculate LCM of 692,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 132172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132172
Therefore, the GCF of Fractions 3024/692,4687/191 is 1/132172
Least Common Multiple of 692,191 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 692,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,191) x common factors =1 x 1 = 1
LCM(692,191) = ( 692 × 191 ) / 1
LCM(692,191) = 132172 / 1
LCM(692,191) = 132172
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FAQs on GCF of Fractions of 3024/692, 4687/191
1. What is the HCF of 3024,4687?
The HCF of 3024,4687 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 3024/692, 4687/191?
Answer: GCF of Numerators as per given numbers 3024/692, 4687/191 is
GCF of Numerators i.e. for 3024,4687 is 1
LCM of denominators i.e. for 692,191 is 132172.
Thus, GCF of Fractions is 1/132172.Finally, GCF of Fractions for 3024/692, 4687/191 is 1/132172.