GCF of 3/21, 13/78, 52/763, 697/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/21, 13/78, 52/763, 697/750 i.e 1/7439250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/21, 13/78, 52/763, 697/750.
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 3/21,13/78,52/763,697/750?
Given fractions are 3/21,13/78,52/763,697/750
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 3/21,13/78,52/763,697/750, numerators are 3,13,52,697
Denominators are 21,78,763,750
The GCF of 3,13,52,697 is 1 .
LCM of 21,78,763,750 is 7439250.
The greatest common factor of 3/21,13/78,52/763,697/750 = [GCF of 3,13,52,697]/[LCM of 21,78,763,750]= 1/7439250
Therefore, the GCF of 3/21,13/78,52/763,697/750 is 1/7439250.
To find the highest common factor of 3,13,52,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 13 are 1, 13
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 697 are 1, 17, 41, 697
The HCF of 3,13,52,697 is 1.
Lets's calculate GCF of 3,13,52,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3,13,52,697 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 13
:1,13
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 3,13,52,697 . The biggest common factor number is the GCF number.
So the greatest common factor 3,13,52,697 is 1.
Lets's calculate LCM of 21,78,763,750
| 2 | 21, 78, 763, 750 |
| 3 | 21, 39, 763, 375 |
| 7 | 7, 13, 763, 125 |
| 1, 13, 109, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 13 x 109 x 125 = 7439250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7439250
Therefore, the GCF of Fractions 3/21,13/78,52/763,697/750 is 1/7439250
Least Common Multiple of 21,78,763,750 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 21,78,763,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,78,763,750) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(21,78,763,750) x common factors =1 x 126 = 126
LCM(21,78,763,750) = ( 21 × 78 × 763 × 750 ) / 126
LCM(21,78,763,750) = 937345500 / 126
LCM(21,78,763,750) = 7439250
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3/21, 13/78, 52/763, 697/750
1. What is the HCF of 3,13,52,697?
The HCF of 3,13,52,697 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 3/21, 13/78, 52/763, 697/750?
Answer: GCF of Numerators as per given numbers 3/21, 13/78, 52/763, 697/750 is
GCF of Numerators i.e. for 3,13,52,697 is 1
LCM of denominators i.e. for 21,78,763,750 is 7439250.
Thus, GCF of Fractions is 1/7439250.Finally, GCF of Fractions for 3/21, 13/78, 52/763, 697/750 is 1/7439250.