GCF of 292/776, 336/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 292/776, 336/722 i.e 4/280136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/776, 336/722.
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 292/776,336/722?
Given fractions are 292/776,336/722
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 292/776,336/722, numerators are 292,336
Denominators are 776,722
The GCF of 292,336 is 4 .
LCM of 776,722 is 280136.
The greatest common factor of 292/776,336/722 = [GCF of 292,336]/[LCM of 776,722]= 4/280136
Therefore, the GCF of 292/776,336/722 is 4/280136.
To find the highest common factor of 292,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 292,336 is 4.
Lets's calculate GCF of 292,336
| 2 | 292, 336 |
| 2 | 146, 168 |
| 73, 84 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 292,336 By Matching Biggest Common Factor Method
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 292,336 . The biggest common factor number is the GCF number.
So the greatest common factor 292,336 is 4.
Lets's calculate LCM of 776,722
| 2 | 776, 722 |
| 388, 361 |
∴ So the LCM of the given numbers is 2 x 388 x 361 = 280136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/280136
Therefore, the GCF of Fractions 292/776,336/722 is 4/280136
Least Common Multiple of 776,722 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 776,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,722) x common factors =2 x 1 = 2
LCM(776,722) = ( 776 × 722 ) / 2
LCM(776,722) = 560272 / 2
LCM(776,722) = 280136
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FAQs on GCF of Fractions of 292/776, 336/722
1. What is the HCF of 292,336?
The HCF of 292,336 is 4
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 292/776, 336/722?
Answer: GCF of Numerators as per given numbers 292/776, 336/722 is
GCF of Numerators i.e. for 292,336 is 4
LCM of denominators i.e. for 776,722 is 280136.
Thus, GCF of Fractions is 4/280136.Finally, GCF of Fractions for 292/776, 336/722 is 4/280136.