GCF of 527/414, 1242/1162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 527/414, 1242/1162 i.e 1/240534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 527/414, 1242/1162.
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 527/414,1242/1162?
Given fractions are 527/414,1242/1162
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 527/414,1242/1162, numerators are 527,1242
Denominators are 414,1162
The GCF of 527,1242 is 1 .
LCM of 414,1162 is 240534.
The greatest common factor of 527/414,1242/1162 = [GCF of 527,1242]/[LCM of 414,1162]= 1/240534
Therefore, the GCF of 527/414,1242/1162 is 1/240534.
To find the highest common factor of 527,1242, we have to find the factors of both numbers and list the highest common factor.
The factors of 527 are 1, 17, 31, 527
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The HCF of 527,1242 is 1.
Lets's calculate GCF of 527,1242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 527,1242 By Matching Biggest Common Factor Method
Now, list down the factors of 527
:1,17,31,527
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Greatest Common Factor
We found the factors 527,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 527,1242 is 1.
Lets's calculate LCM of 414,1162
| 2 | 414, 1162 |
| 207, 581 |
∴ So the LCM of the given numbers is 2 x 207 x 581 = 240534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240534
Therefore, the GCF of Fractions 527/414,1242/1162 is 1/240534
Least Common Multiple of 414,1162 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 414,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1162) x common factors =2 x 1 = 2
LCM(414,1162) = ( 414 × 1162 ) / 2
LCM(414,1162) = 481068 / 2
LCM(414,1162) = 240534
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FAQs on GCF of Fractions of 527/414, 1242/1162
1. What is the HCF of 527,1242?
The HCF of 527,1242 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 527/414, 1242/1162?
Answer: GCF of Numerators as per given numbers 527/414, 1242/1162 is
GCF of Numerators i.e. for 527,1242 is 1
LCM of denominators i.e. for 414,1162 is 240534.
Thus, GCF of Fractions is 1/240534.Finally, GCF of Fractions for 527/414, 1242/1162 is 1/240534.