GCF of 2767/548, 1458/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2767/548, 1458/222 i.e 1/60828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2767/548, 1458/222.
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 2767/548,1458/222?
Given fractions are 2767/548,1458/222
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 2767/548,1458/222, numerators are 2767,1458
Denominators are 548,222
The GCF of 2767,1458 is 1 .
LCM of 548,222 is 60828.
The greatest common factor of 2767/548,1458/222 = [GCF of 2767,1458]/[LCM of 548,222]= 1/60828
Therefore, the GCF of 2767/548,1458/222 is 1/60828.
To find the highest common factor of 2767,1458, we have to find the factors of both numbers and list the highest common factor.
The factors of 2767 are 1, 2767
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The HCF of 2767,1458 is 1.
Lets's calculate GCF of 2767,1458
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2767,1458 By Matching Biggest Common Factor Method
Now, list down the factors of 2767
:1,2767
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Greatest Common Factor
We found the factors 2767,1458 . The biggest common factor number is the GCF number.
So the greatest common factor 2767,1458 is 1.
Lets's calculate LCM of 548,222
| 2 | 548, 222 |
| 274, 111 |
∴ So the LCM of the given numbers is 2 x 274 x 111 = 60828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60828
Therefore, the GCF of Fractions 2767/548,1458/222 is 1/60828
Least Common Multiple of 548,222 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 548,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,222) x common factors =2 x 1 = 2
LCM(548,222) = ( 548 × 222 ) / 2
LCM(548,222) = 121656 / 2
LCM(548,222) = 60828
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FAQs on GCF of Fractions of 2767/548, 1458/222
1. What is the HCF of 2767,1458?
The HCF of 2767,1458 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 2767/548, 1458/222?
Answer: GCF of Numerators as per given numbers 2767/548, 1458/222 is
GCF of Numerators i.e. for 2767,1458 is 1
LCM of denominators i.e. for 548,222 is 60828.
Thus, GCF of Fractions is 1/60828.Finally, GCF of Fractions for 2767/548, 1458/222 is 1/60828.