GCF of 847/53, 924/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 847/53, 924/235 i.e 77/12455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/53, 924/235.
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 847/53,924/235?
Given fractions are 847/53,924/235
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 847/53,924/235, numerators are 847,924
Denominators are 53,235
The GCF of 847,924 is 77 .
LCM of 53,235 is 12455.
The greatest common factor of 847/53,924/235 = [GCF of 847,924]/[LCM of 53,235]= 77/12455
Therefore, the GCF of 847/53,924/235 is 77/12455.
To find the highest common factor of 847,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 847,924 is 77.
Lets's calculate GCF of 847,924
| 7 | 847, 924 |
| 11 | 121, 132 |
| 11, 12 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Greatest Common Factor of 847,924 By Matching Biggest Common Factor Method
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 847,924 . The biggest common factor number is the GCF number.
So the greatest common factor 847,924 is 77.
Lets's calculate LCM of 53,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 12455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/12455
Therefore, the GCF of Fractions 847/53,924/235 is 77/12455
Least Common Multiple of 53,235 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 53,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,235) x common factors =1 x 1 = 1
LCM(53,235) = ( 53 × 235 ) / 1
LCM(53,235) = 12455 / 1
LCM(53,235) = 12455
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FAQs on GCF of Fractions of 847/53, 924/235
1. What is the HCF of 847,924?
The HCF of 847,924 is 77
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 847/53, 924/235?
Answer: GCF of Numerators as per given numbers 847/53, 924/235 is
GCF of Numerators i.e. for 847,924 is 77
LCM of denominators i.e. for 53,235 is 12455.
Thus, GCF of Fractions is 77/12455.Finally, GCF of Fractions for 847/53, 924/235 is 77/12455.