GCF of 6873/688, 1269/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6873/688, 1269/165 i.e 3/113520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6873/688, 1269/165.
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 6873/688,1269/165?
Given fractions are 6873/688,1269/165
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 6873/688,1269/165, numerators are 6873,1269
Denominators are 688,165
The GCF of 6873,1269 is 3 .
LCM of 688,165 is 113520.
The greatest common factor of 6873/688,1269/165 = [GCF of 6873,1269]/[LCM of 688,165]= 3/113520
Therefore, the GCF of 6873/688,1269/165 is 3/113520.
To find the highest common factor of 6873,1269, we have to find the factors of both numbers and list the highest common factor.
The factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873
The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269
The HCF of 6873,1269 is 3.
Lets's calculate GCF of 6873,1269
| 3 | 6873, 1269 |
| 2291, 423 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6873,1269 By Matching Biggest Common Factor Method
Now, list down the factors of 6873
:1,3,29,79,87,237,2291,6873
Now, list down the factors of 1269
:1,3,9,27,47,141,423,1269
Greatest Common Factor
We found the factors 6873,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 6873,1269 is 3.
Lets's calculate LCM of 688,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 113520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113520
Therefore, the GCF of Fractions 6873/688,1269/165 is 3/113520
Least Common Multiple of 688,165 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 688,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,165) x common factors =1 x 1 = 1
LCM(688,165) = ( 688 × 165 ) / 1
LCM(688,165) = 113520 / 1
LCM(688,165) = 113520
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FAQs on GCF of Fractions of 6873/688, 1269/165
1. What is the HCF of 6873,1269?
The HCF of 6873,1269 is 3
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 6873/688, 1269/165?
Answer: GCF of Numerators as per given numbers 6873/688, 1269/165 is
GCF of Numerators i.e. for 6873,1269 is 3
LCM of denominators i.e. for 688,165 is 113520.
Thus, GCF of Fractions is 3/113520.Finally, GCF of Fractions for 6873/688, 1269/165 is 3/113520.