GCF of 357/10, 266/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/10, 266/704 i.e 7/3520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/10, 266/704.
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 357/10,266/704?
Given fractions are 357/10,266/704
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 357/10,266/704, numerators are 357,266
Denominators are 10,704
The GCF of 357,266 is 7 .
LCM of 10,704 is 3520.
The greatest common factor of 357/10,266/704 = [GCF of 357,266]/[LCM of 10,704]= 7/3520
Therefore, the GCF of 357/10,266/704 is 7/3520.
To find the highest common factor of 357,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 357,266 is 7.
Lets's calculate GCF of 357,266
| 7 | 357, 266 |
| 51, 38 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 357,266 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 357,266 . The biggest common factor number is the GCF number.
So the greatest common factor 357,266 is 7.
Lets's calculate LCM of 10,704
| 2 | 10, 704 |
| 5, 352 |
∴ So the LCM of the given numbers is 2 x 5 x 352 = 3520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3520
Therefore, the GCF of Fractions 357/10,266/704 is 7/3520
Least Common Multiple of 10,704 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 10,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,704) x common factors =2 x 1 = 2
LCM(10,704) = ( 10 × 704 ) / 2
LCM(10,704) = 7040 / 2
LCM(10,704) = 3520
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FAQs on GCF of Fractions of 357/10, 266/704
1. What is the HCF of 357,266?
The HCF of 357,266 is 7
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 357/10, 266/704?
Answer: GCF of Numerators as per given numbers 357/10, 266/704 is
GCF of Numerators i.e. for 357,266 is 7
LCM of denominators i.e. for 10,704 is 3520.
Thus, GCF of Fractions is 7/3520.Finally, GCF of Fractions for 357/10, 266/704 is 7/3520.