GCF of 261/696, 693/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 261/696, 693/870 i.e 9/3480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/696, 693/870.
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 261/696,693/870?
Given fractions are 261/696,693/870
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 261/696,693/870, numerators are 261,693
Denominators are 696,870
The GCF of 261,693 is 9 .
LCM of 696,870 is 3480.
The greatest common factor of 261/696,693/870 = [GCF of 261,693]/[LCM of 696,870]= 9/3480
Therefore, the GCF of 261/696,693/870 is 9/3480.
To find the highest common factor of 261,693, we have to find the factors of both numbers and list the highest common factor.
The factors of 261 are 1, 3, 9, 29, 87, 261
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The HCF of 261,693 is 9.
Lets's calculate GCF of 261,693
| 3 | 261, 693 |
| 3 | 87, 231 |
| 29, 77 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 261,693 By Matching Biggest Common Factor Method
Now, list down the factors of 261
:1,3,9,29,87,261
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 261,693 . The biggest common factor number is the GCF number.
So the greatest common factor 261,693 is 9.
Lets's calculate LCM of 696,870
| 2 | 696, 870 |
| 3 | 348, 435 |
| 29 | 116, 145 |
| 4, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 4 x 5 = 3480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3480
Therefore, the GCF of Fractions 261/696,693/870 is 9/3480
Least Common Multiple of 696,870 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 696,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,870) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(696,870) x common factors =174 x 1 = 174
LCM(696,870) = ( 696 × 870 ) / 174
LCM(696,870) = 605520 / 174
LCM(696,870) = 3480
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FAQs on GCF of Fractions of 261/696, 693/870
1. What is the HCF of 261,693?
The HCF of 261,693 is 9
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 261/696, 693/870?
Answer: GCF of Numerators as per given numbers 261/696, 693/870 is
GCF of Numerators i.e. for 261,693 is 9
LCM of denominators i.e. for 696,870 is 3480.
Thus, GCF of Fractions is 9/3480.Finally, GCF of Fractions for 261/696, 693/870 is 9/3480.