GCF of 112/883, 988/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 112/883, 988/506 i.e 4/446798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 112/883, 988/506.
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 112/883,988/506?
Given fractions are 112/883,988/506
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 112/883,988/506, numerators are 112,988
Denominators are 883,506
The GCF of 112,988 is 4 .
LCM of 883,506 is 446798.
The greatest common factor of 112/883,988/506 = [GCF of 112,988]/[LCM of 883,506]= 4/446798
Therefore, the GCF of 112/883,988/506 is 4/446798.
To find the highest common factor of 112,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 112,988 is 4.
Lets's calculate GCF of 112,988
| 2 | 112, 988 |
| 2 | 56, 494 |
| 28, 247 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 112,988 By Matching Biggest Common Factor Method
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 112,988 . The biggest common factor number is the GCF number.
So the greatest common factor 112,988 is 4.
Lets's calculate LCM of 883,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 446798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/446798
Therefore, the GCF of Fractions 112/883,988/506 is 4/446798
Least Common Multiple of 883,506 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 883,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,506) x common factors =1 x 1 = 1
LCM(883,506) = ( 883 × 506 ) / 1
LCM(883,506) = 446798 / 1
LCM(883,506) = 446798
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FAQs on GCF of Fractions of 112/883, 988/506
1. What is the HCF of 112,988?
The HCF of 112,988 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 112/883, 988/506?
Answer: GCF of Numerators as per given numbers 112/883, 988/506 is
GCF of Numerators i.e. for 112,988 is 4
LCM of denominators i.e. for 883,506 is 446798.
Thus, GCF of Fractions is 4/446798.Finally, GCF of Fractions for 112/883, 988/506 is 4/446798.