GCF of 5012/640, 5672/445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5012/640, 5672/445 i.e 4/56960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5012/640, 5672/445.
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 5012/640,5672/445?
Given fractions are 5012/640,5672/445
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 5012/640,5672/445, numerators are 5012,5672
Denominators are 640,445
The GCF of 5012,5672 is 4 .
LCM of 640,445 is 56960.
The greatest common factor of 5012/640,5672/445 = [GCF of 5012,5672]/[LCM of 640,445]= 4/56960
Therefore, the GCF of 5012/640,5672/445 is 4/56960.
To find the highest common factor of 5012,5672, we have to find the factors of both numbers and list the highest common factor.
The factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012
The factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672
The HCF of 5012,5672 is 4.
Lets's calculate GCF of 5012,5672
| 2 | 5012, 5672 |
| 2 | 2506, 2836 |
| 1253, 1418 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5012,5672 By Matching Biggest Common Factor Method
Now, list down the factors of 5012
:1,2,4,7,14,28,179,358,716,1253,2506,5012
Now, list down the factors of 5672
:1,2,4,8,709,1418,2836,5672
Greatest Common Factor
We found the factors 5012,5672 . The biggest common factor number is the GCF number.
So the greatest common factor 5012,5672 is 4.
Lets's calculate LCM of 640,445
| 5 | 640, 445 |
| 128, 89 |
∴ So the LCM of the given numbers is 5 x 128 x 89 = 56960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/56960
Therefore, the GCF of Fractions 5012/640,5672/445 is 4/56960
Least Common Multiple of 640,445 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 640,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,445) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,445) x common factors =5 x 1 = 5
LCM(640,445) = ( 640 × 445 ) / 5
LCM(640,445) = 284800 / 5
LCM(640,445) = 56960
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FAQs on GCF of Fractions of 5012/640, 5672/445
1. What is the HCF of 5012,5672?
The HCF of 5012,5672 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 5012/640, 5672/445?
Answer: GCF of Numerators as per given numbers 5012/640, 5672/445 is
GCF of Numerators i.e. for 5012,5672 is 4
LCM of denominators i.e. for 640,445 is 56960.
Thus, GCF of Fractions is 4/56960.Finally, GCF of Fractions for 5012/640, 5672/445 is 4/56960.