GCF of 8360/826, 6907/1412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8360/826, 6907/1412 i.e 1/583156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8360/826, 6907/1412.
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 8360/826,6907/1412?
Given fractions are 8360/826,6907/1412
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 8360/826,6907/1412, numerators are 8360,6907
Denominators are 826,1412
The GCF of 8360,6907 is 1 .
LCM of 826,1412 is 583156.
The greatest common factor of 8360/826,6907/1412 = [GCF of 8360,6907]/[LCM of 826,1412]= 1/583156
Therefore, the GCF of 8360/826,6907/1412 is 1/583156.
To find the highest common factor of 8360,6907, we have to find the factors of both numbers and list the highest common factor.
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The factors of 6907 are 1, 6907
The HCF of 8360,6907 is 1.
Lets's calculate GCF of 8360,6907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8360,6907 By Matching Biggest Common Factor Method
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Now, list down the factors of 6907
:1,6907
Greatest Common Factor
We found the factors 8360,6907 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,6907 is 1.
Lets's calculate LCM of 826,1412
| 2 | 826, 1412 |
| 413, 706 |
∴ So the LCM of the given numbers is 2 x 413 x 706 = 583156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583156
Therefore, the GCF of Fractions 8360/826,6907/1412 is 1/583156
Least Common Multiple of 826,1412 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 826,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,1412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,1412) x common factors =2 x 1 = 2
LCM(826,1412) = ( 826 × 1412 ) / 2
LCM(826,1412) = 1166312 / 2
LCM(826,1412) = 583156
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8360/826, 6907/1412
1. What is the HCF of 8360,6907?
The HCF of 8360,6907 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 8360/826, 6907/1412?
Answer: GCF of Numerators as per given numbers 8360/826, 6907/1412 is
GCF of Numerators i.e. for 8360,6907 is 1
LCM of denominators i.e. for 826,1412 is 583156.
Thus, GCF of Fractions is 1/583156.Finally, GCF of Fractions for 8360/826, 6907/1412 is 1/583156.