GCF of 9912/692, 7168/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9912/692, 7168/493 i.e 56/341156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9912/692, 7168/493.
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 9912/692,7168/493?
Given fractions are 9912/692,7168/493
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 9912/692,7168/493, numerators are 9912,7168
Denominators are 692,493
The GCF of 9912,7168 is 56 .
LCM of 692,493 is 341156.
The greatest common factor of 9912/692,7168/493 = [GCF of 9912,7168]/[LCM of 692,493]= 56/341156
Therefore, the GCF of 9912/692,7168/493 is 56/341156.
To find the highest common factor of 9912,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 9912,7168 is 56.
Lets's calculate GCF of 9912,7168
| 2 | 9912, 7168 |
| 2 | 4956, 3584 |
| 2 | 2478, 1792 |
| 7 | 1239, 896 |
| 177, 128 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 9912,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 9912
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 9912,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 9912,7168 is 56.
Lets's calculate LCM of 692,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 341156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/341156
Therefore, the GCF of Fractions 9912/692,7168/493 is 56/341156
Least Common Multiple of 692,493 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 692,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,493) x common factors =1 x 1 = 1
LCM(692,493) = ( 692 × 493 ) / 1
LCM(692,493) = 341156 / 1
LCM(692,493) = 341156
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FAQs on GCF of Fractions of 9912/692, 7168/493
1. What is the HCF of 9912,7168?
The HCF of 9912,7168 is 56
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 9912/692, 7168/493?
Answer: GCF of Numerators as per given numbers 9912/692, 7168/493 is
GCF of Numerators i.e. for 9912,7168 is 56
LCM of denominators i.e. for 692,493 is 341156.
Thus, GCF of Fractions is 56/341156.Finally, GCF of Fractions for 9912/692, 7168/493 is 56/341156.