GCF of 9767/828, 6792/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9767/828, 6792/892 i.e 1/184644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9767/828, 6792/892.
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 9767/828,6792/892?
Given fractions are 9767/828,6792/892
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 9767/828,6792/892, numerators are 9767,6792
Denominators are 828,892
The GCF of 9767,6792 is 1 .
LCM of 828,892 is 184644.
The greatest common factor of 9767/828,6792/892 = [GCF of 9767,6792]/[LCM of 828,892]= 1/184644
Therefore, the GCF of 9767/828,6792/892 is 1/184644.
To find the highest common factor of 9767,6792, we have to find the factors of both numbers and list the highest common factor.
The factors of 9767 are 1, 9767
The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The HCF of 9767,6792 is 1.
Lets's calculate GCF of 9767,6792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9767,6792 By Matching Biggest Common Factor Method
Now, list down the factors of 9767
:1,9767
Now, list down the factors of 6792
:1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Greatest Common Factor
We found the factors 9767,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 9767,6792 is 1.
Lets's calculate LCM of 828,892
| 2 | 828, 892 |
| 2 | 414, 446 |
| 207, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 223 = 184644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184644
Therefore, the GCF of Fractions 9767/828,6792/892 is 1/184644
Least Common Multiple of 828,892 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 828,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,892) x common factors =4 x 1 = 4
LCM(828,892) = ( 828 × 892 ) / 4
LCM(828,892) = 738576 / 4
LCM(828,892) = 184644
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FAQs on GCF of Fractions of 9767/828, 6792/892
1. What is the HCF of 9767,6792?
The HCF of 9767,6792 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 9767/828, 6792/892?
Answer: GCF of Numerators as per given numbers 9767/828, 6792/892 is
GCF of Numerators i.e. for 9767,6792 is 1
LCM of denominators i.e. for 828,892 is 184644.
Thus, GCF of Fractions is 1/184644.Finally, GCF of Fractions for 9767/828, 6792/892 is 1/184644.