GCF of 5312/162, 7244/1000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5312/162, 7244/1000 i.e 4/81000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5312/162, 7244/1000.
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 5312/162,7244/1000?
Given fractions are 5312/162,7244/1000
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 5312/162,7244/1000, numerators are 5312,7244
Denominators are 162,1000
The GCF of 5312,7244 is 4 .
LCM of 162,1000 is 81000.
The greatest common factor of 5312/162,7244/1000 = [GCF of 5312,7244]/[LCM of 162,1000]= 4/81000
Therefore, the GCF of 5312/162,7244/1000 is 4/81000.
To find the highest common factor of 5312,7244, we have to find the factors of both numbers and list the highest common factor.
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The factors of 7244 are 1, 2, 4, 1811, 3622, 7244
The HCF of 5312,7244 is 4.
Lets's calculate GCF of 5312,7244
| 2 | 5312, 7244 |
| 2 | 2656, 3622 |
| 1328, 1811 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5312,7244 By Matching Biggest Common Factor Method
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Now, list down the factors of 7244
:1,2,4,1811,3622,7244
Greatest Common Factor
We found the factors 5312,7244 . The biggest common factor number is the GCF number.
So the greatest common factor 5312,7244 is 4.
Lets's calculate LCM of 162,1000
| 2 | 162, 1000 |
| 81, 500 |
∴ So the LCM of the given numbers is 2 x 81 x 500 = 81000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/81000
Therefore, the GCF of Fractions 5312/162,7244/1000 is 4/81000
Least Common Multiple of 162,1000 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 162,1000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,1000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,1000) x common factors =2 x 1 = 2
LCM(162,1000) = ( 162 × 1000 ) / 2
LCM(162,1000) = 162000 / 2
LCM(162,1000) = 81000
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FAQs on GCF of Fractions of 5312/162, 7244/1000
1. What is the HCF of 5312,7244?
The HCF of 5312,7244 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 5312/162, 7244/1000?
Answer: GCF of Numerators as per given numbers 5312/162, 7244/1000 is
GCF of Numerators i.e. for 5312,7244 is 4
LCM of denominators i.e. for 162,1000 is 81000.
Thus, GCF of Fractions is 4/81000.Finally, GCF of Fractions for 5312/162, 7244/1000 is 4/81000.