GCF of 7761/776, 2847/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7761/776, 2847/608 i.e 39/58976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7761/776, 2847/608.
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 7761/776,2847/608?
Given fractions are 7761/776,2847/608
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 7761/776,2847/608, numerators are 7761,2847
Denominators are 776,608
The GCF of 7761,2847 is 39 .
LCM of 776,608 is 58976.
The greatest common factor of 7761/776,2847/608 = [GCF of 7761,2847]/[LCM of 776,608]= 39/58976
Therefore, the GCF of 7761/776,2847/608 is 39/58976.
To find the highest common factor of 7761,2847, we have to find the factors of both numbers and list the highest common factor.
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847
The HCF of 7761,2847 is 39.
Lets's calculate GCF of 7761,2847
| 3 | 7761, 2847 |
| 13 | 2587, 949 |
| 199, 73 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 7761,2847 By Matching Biggest Common Factor Method
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Now, list down the factors of 2847
:1,3,13,39,73,219,949,2847
Greatest Common Factor
We found the factors 7761,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 7761,2847 is 39.
Lets's calculate LCM of 776,608
| 2 | 776, 608 |
| 2 | 388, 304 |
| 2 | 194, 152 |
| 97, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 76 = 58976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/58976
Therefore, the GCF of Fractions 7761/776,2847/608 is 39/58976
Least Common Multiple of 776,608 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 776,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,608) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,608) x common factors =8 x 1 = 8
LCM(776,608) = ( 776 × 608 ) / 8
LCM(776,608) = 471808 / 8
LCM(776,608) = 58976
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FAQs on GCF of Fractions of 7761/776, 2847/608
1. What is the HCF of 7761,2847?
The HCF of 7761,2847 is 39
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 7761/776, 2847/608?
Answer: GCF of Numerators as per given numbers 7761/776, 2847/608 is
GCF of Numerators i.e. for 7761,2847 is 39
LCM of denominators i.e. for 776,608 is 58976.
Thus, GCF of Fractions is 39/58976.Finally, GCF of Fractions for 7761/776, 2847/608 is 39/58976.