GCF of 4262/804, 8906/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4262/804, 8906/540 i.e 2/36180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4262/804, 8906/540.
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 4262/804,8906/540?
Given fractions are 4262/804,8906/540
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 4262/804,8906/540, numerators are 4262,8906
Denominators are 804,540
The GCF of 4262,8906 is 2 .
LCM of 804,540 is 36180.
The greatest common factor of 4262/804,8906/540 = [GCF of 4262,8906]/[LCM of 804,540]= 2/36180
Therefore, the GCF of 4262/804,8906/540 is 2/36180.
To find the highest common factor of 4262,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 4262 are 1, 2, 2131, 4262
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 4262,8906 is 2.
Lets's calculate GCF of 4262,8906
| 2 | 4262, 8906 |
| 2131, 4453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4262,8906 By Matching Biggest Common Factor Method
Now, list down the factors of 4262
:1,2,2131,4262
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 4262,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 4262,8906 is 2.
Lets's calculate LCM of 804,540
| 2 | 804, 540 |
| 2 | 402, 270 |
| 3 | 201, 135 |
| 67, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 45 = 36180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36180
Therefore, the GCF of Fractions 4262/804,8906/540 is 2/36180
Least Common Multiple of 804,540 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 804,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,540) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(804,540) x common factors =12 x 1 = 12
LCM(804,540) = ( 804 × 540 ) / 12
LCM(804,540) = 434160 / 12
LCM(804,540) = 36180
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FAQs on GCF of Fractions of 4262/804, 8906/540
1. What is the HCF of 4262,8906?
The HCF of 4262,8906 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 4262/804, 8906/540?
Answer: GCF of Numerators as per given numbers 4262/804, 8906/540 is
GCF of Numerators i.e. for 4262,8906 is 2
LCM of denominators i.e. for 804,540 is 36180.
Thus, GCF of Fractions is 2/36180.Finally, GCF of Fractions for 4262/804, 8906/540 is 2/36180.