GCF of 1701/834, 7696/4960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1701/834, 7696/4960 i.e 1/2068320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1701/834, 7696/4960.
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 1701/834,7696/4960?
Given fractions are 1701/834,7696/4960
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 1701/834,7696/4960, numerators are 1701,7696
Denominators are 834,4960
The GCF of 1701,7696 is 1 .
LCM of 834,4960 is 2068320.
The greatest common factor of 1701/834,7696/4960 = [GCF of 1701,7696]/[LCM of 834,4960]= 1/2068320
Therefore, the GCF of 1701/834,7696/4960 is 1/2068320.
To find the highest common factor of 1701,7696, we have to find the factors of both numbers and list the highest common factor.
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
The factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696
The HCF of 1701,7696 is 1.
Lets's calculate GCF of 1701,7696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1701,7696 By Matching Biggest Common Factor Method
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
Now, list down the factors of 7696
:1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696
Greatest Common Factor
We found the factors 1701,7696 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,7696 is 1.
Lets's calculate LCM of 834,4960
| 2 | 834, 4960 |
| 417, 2480 |
∴ So the LCM of the given numbers is 2 x 417 x 2480 = 2068320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2068320
Therefore, the GCF of Fractions 1701/834,7696/4960 is 1/2068320
Least Common Multiple of 834,4960 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 834,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,4960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,4960) x common factors =2 x 1 = 2
LCM(834,4960) = ( 834 × 4960 ) / 2
LCM(834,4960) = 4136640 / 2
LCM(834,4960) = 2068320
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FAQs on GCF of Fractions of 1701/834, 7696/4960
1. What is the HCF of 1701,7696?
The HCF of 1701,7696 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 1701/834, 7696/4960?
Answer: GCF of Numerators as per given numbers 1701/834, 7696/4960 is
GCF of Numerators i.e. for 1701,7696 is 1
LCM of denominators i.e. for 834,4960 is 2068320.
Thus, GCF of Fractions is 1/2068320.Finally, GCF of Fractions for 1701/834, 7696/4960 is 1/2068320.