GCF of 1766/803, 9908/7007
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1766/803, 9908/7007 i.e 2/511511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1766/803, 9908/7007.
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 1766/803,9908/7007?
Given fractions are 1766/803,9908/7007
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 1766/803,9908/7007, numerators are 1766,9908
Denominators are 803,7007
The GCF of 1766,9908 is 2 .
LCM of 803,7007 is 511511.
The greatest common factor of 1766/803,9908/7007 = [GCF of 1766,9908]/[LCM of 803,7007]= 2/511511
Therefore, the GCF of 1766/803,9908/7007 is 2/511511.
To find the highest common factor of 1766,9908, we have to find the factors of both numbers and list the highest common factor.
The factors of 1766 are 1, 2, 883, 1766
The factors of 9908 are 1, 2, 4, 2477, 4954, 9908
The HCF of 1766,9908 is 2.
Lets's calculate GCF of 1766,9908
| 2 | 1766, 9908 |
| 883, 4954 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1766,9908 By Matching Biggest Common Factor Method
Now, list down the factors of 1766
:1,2,883,1766
Now, list down the factors of 9908
:1,2,4,2477,4954,9908
Greatest Common Factor
We found the factors 1766,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 1766,9908 is 2.
Lets's calculate LCM of 803,7007
| 11 | 803, 7007 |
| 73, 637 |
∴ So the LCM of the given numbers is 11 x 73 x 637 = 511511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/511511
Therefore, the GCF of Fractions 1766/803,9908/7007 is 2/511511
Least Common Multiple of 803,7007 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 803,7007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,7007) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(803,7007) x common factors =11 x 1 = 11
LCM(803,7007) = ( 803 × 7007 ) / 11
LCM(803,7007) = 5626621 / 11
LCM(803,7007) = 511511
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FAQs on GCF of Fractions of 1766/803, 9908/7007
1. What is the HCF of 1766,9908?
The HCF of 1766,9908 is 2
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 1766/803, 9908/7007?
Answer: GCF of Numerators as per given numbers 1766/803, 9908/7007 is
GCF of Numerators i.e. for 1766,9908 is 2
LCM of denominators i.e. for 803,7007 is 511511.
Thus, GCF of Fractions is 2/511511.Finally, GCF of Fractions for 1766/803, 9908/7007 is 2/511511.