GCF of 2736/771, 6538/100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2736/771, 6538/100 i.e 2/77100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2736/771, 6538/100.
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 2736/771,6538/100?
Given fractions are 2736/771,6538/100
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 2736/771,6538/100, numerators are 2736,6538
Denominators are 771,100
The GCF of 2736,6538 is 2 .
LCM of 771,100 is 77100.
The greatest common factor of 2736/771,6538/100 = [GCF of 2736,6538]/[LCM of 771,100]= 2/77100
Therefore, the GCF of 2736/771,6538/100 is 2/77100.
To find the highest common factor of 2736,6538, we have to find the factors of both numbers and list the highest common factor.
The factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736
The factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538
The HCF of 2736,6538 is 2.
Lets's calculate GCF of 2736,6538
| 2 | 2736, 6538 |
| 1368, 3269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2736,6538 By Matching Biggest Common Factor Method
Now, list down the factors of 2736
:1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736
Now, list down the factors of 6538
:1,2,7,14,467,934,3269,6538
Greatest Common Factor
We found the factors 2736,6538 . The biggest common factor number is the GCF number.
So the greatest common factor 2736,6538 is 2.
Lets's calculate LCM of 771,100
Given numbers has no common factors except 1. So, there LCM is their product i.e 77100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77100
Therefore, the GCF of Fractions 2736/771,6538/100 is 2/77100
Least Common Multiple of 771,100 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 771,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,100) x common factors =1 x 1 = 1
LCM(771,100) = ( 771 × 100 ) / 1
LCM(771,100) = 77100 / 1
LCM(771,100) = 77100
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FAQs on GCF of Fractions of 2736/771, 6538/100
1. What is the HCF of 2736,6538?
The HCF of 2736,6538 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 2736/771, 6538/100?
Answer: GCF of Numerators as per given numbers 2736/771, 6538/100 is
GCF of Numerators i.e. for 2736,6538 is 2
LCM of denominators i.e. for 771,100 is 77100.
Thus, GCF of Fractions is 2/77100.Finally, GCF of Fractions for 2736/771, 6538/100 is 2/77100.