GCF of 301/675, 266/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/675, 266/688 i.e 7/464400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/675, 266/688.
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 301/675,266/688?
Given fractions are 301/675,266/688
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 301/675,266/688, numerators are 301,266
Denominators are 675,688
The GCF of 301,266 is 7 .
LCM of 675,688 is 464400.
The greatest common factor of 301/675,266/688 = [GCF of 301,266]/[LCM of 675,688]= 7/464400
Therefore, the GCF of 301/675,266/688 is 7/464400.
To find the highest common factor of 301,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 301,266 is 7.
Lets's calculate GCF of 301,266
| 7 | 301, 266 |
| 43, 38 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 301,266 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 301,266 . The biggest common factor number is the GCF number.
So the greatest common factor 301,266 is 7.
Lets's calculate LCM of 675,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 464400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/464400
Therefore, the GCF of Fractions 301/675,266/688 is 7/464400
Least Common Multiple of 675,688 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 675,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,688) x common factors =1 x 1 = 1
LCM(675,688) = ( 675 × 688 ) / 1
LCM(675,688) = 464400 / 1
LCM(675,688) = 464400
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FAQs on GCF of Fractions of 301/675, 266/688
1. What is the HCF of 301,266?
The HCF of 301,266 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 301/675, 266/688?
Answer: GCF of Numerators as per given numbers 301/675, 266/688 is
GCF of Numerators i.e. for 301,266 is 7
LCM of denominators i.e. for 675,688 is 464400.
Thus, GCF of Fractions is 7/464400.Finally, GCF of Fractions for 301/675, 266/688 is 7/464400.