GCF of 8262/251, 2754/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8262/251, 2754/420 i.e 2754/105420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8262/251, 2754/420.
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 8262/251,2754/420?
Given fractions are 8262/251,2754/420
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 8262/251,2754/420, numerators are 8262,2754
Denominators are 251,420
The GCF of 8262,2754 is 2754 .
LCM of 251,420 is 105420.
The greatest common factor of 8262/251,2754/420 = [GCF of 8262,2754]/[LCM of 251,420]= 2754/105420
Therefore, the GCF of 8262/251,2754/420 is 2754/105420.
To find the highest common factor of 8262,2754, we have to find the factors of both numbers and list the highest common factor.
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The factors of 2754 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377, 2754
The HCF of 8262,2754 is 2754.
Lets's calculate GCF of 8262,2754
| 2 | 8262, 2754 |
| 3 | 4131, 1377 |
| 3 | 459, 1377 |
| 3 | 153, 459 |
| 3 | 51, 153 |
| 17 | 17, 51 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 x 17 = 2754
Greatest Common Factor of 8262,2754 By Matching Biggest Common Factor Method
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Now, list down the factors of 2754
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754
Greatest Common Factor
We found the factors 8262,2754 . The biggest common factor number is the GCF number.
So the greatest common factor 8262,2754 is 2754.
Lets's calculate LCM of 251,420
Given numbers has no common factors except 1. So, there LCM is their product i.e 105420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2754/105420
Therefore, the GCF of Fractions 8262/251,2754/420 is 2754/105420
Least Common Multiple of 251,420 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 251,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,420) x common factors =1 x 1 = 1
LCM(251,420) = ( 251 × 420 ) / 1
LCM(251,420) = 105420 / 1
LCM(251,420) = 105420
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FAQs on GCF of Fractions of 8262/251, 2754/420
1. What is the HCF of 8262,2754?
The HCF of 8262,2754 is 2754
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 8262/251, 2754/420?
Answer: GCF of Numerators as per given numbers 8262/251, 2754/420 is
GCF of Numerators i.e. for 8262,2754 is 2754
LCM of denominators i.e. for 251,420 is 105420.
Thus, GCF of Fractions is 2754/105420.Finally, GCF of Fractions for 8262/251, 2754/420 is 2754/105420.