GCF of 262/328, 678/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 262/328, 678/302 i.e 2/49528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/328, 678/302.
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 262/328,678/302?
Given fractions are 262/328,678/302
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 262/328,678/302, numerators are 262,678
Denominators are 328,302
The GCF of 262,678 is 2 .
LCM of 328,302 is 49528.
The greatest common factor of 262/328,678/302 = [GCF of 262,678]/[LCM of 328,302]= 2/49528
Therefore, the GCF of 262/328,678/302 is 2/49528.
To find the highest common factor of 262,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 262 are 1, 2, 131, 262
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 262,678 is 2.
Lets's calculate GCF of 262,678
| 2 | 262, 678 |
| 131, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 262,678 By Matching Biggest Common Factor Method
Now, list down the factors of 262
:1,2,131,262
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 262,678 . The biggest common factor number is the GCF number.
So the greatest common factor 262,678 is 2.
Lets's calculate LCM of 328,302
| 2 | 328, 302 |
| 164, 151 |
∴ So the LCM of the given numbers is 2 x 164 x 151 = 49528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49528
Therefore, the GCF of Fractions 262/328,678/302 is 2/49528
Least Common Multiple of 328,302 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 328,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(328,302) x common factors =2 x 1 = 2
LCM(328,302) = ( 328 × 302 ) / 2
LCM(328,302) = 99056 / 2
LCM(328,302) = 49528
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FAQs on GCF of Fractions of 262/328, 678/302
1. What is the HCF of 262,678?
The HCF of 262,678 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 262/328, 678/302?
Answer: GCF of Numerators as per given numbers 262/328, 678/302 is
GCF of Numerators i.e. for 262,678 is 2
LCM of denominators i.e. for 328,302 is 49528.
Thus, GCF of Fractions is 2/49528.Finally, GCF of Fractions for 262/328, 678/302 is 2/49528.