GCF of 5024/447, 2656/6670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5024/447, 2656/6670 i.e 32/2981490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5024/447, 2656/6670.
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 5024/447,2656/6670?
Given fractions are 5024/447,2656/6670
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 5024/447,2656/6670, numerators are 5024,2656
Denominators are 447,6670
The GCF of 5024,2656 is 32 .
LCM of 447,6670 is 2981490.
The greatest common factor of 5024/447,2656/6670 = [GCF of 5024,2656]/[LCM of 447,6670]= 32/2981490
Therefore, the GCF of 5024/447,2656/6670 is 32/2981490.
To find the highest common factor of 5024,2656, we have to find the factors of both numbers and list the highest common factor.
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The factors of 2656 are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656
The HCF of 5024,2656 is 32.
Lets's calculate GCF of 5024,2656
| 2 | 5024, 2656 |
| 2 | 2512, 1328 |
| 2 | 1256, 664 |
| 2 | 628, 332 |
| 2 | 314, 166 |
| 157, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 5024,2656 By Matching Biggest Common Factor Method
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Now, list down the factors of 2656
:1,2,4,8,16,32,83,166,332,664,1328,2656
Greatest Common Factor
We found the factors 5024,2656 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,2656 is 32.
Lets's calculate LCM of 447,6670
Given numbers has no common factors except 1. So, there LCM is their product i.e 2981490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2981490
Therefore, the GCF of Fractions 5024/447,2656/6670 is 32/2981490
Least Common Multiple of 447,6670 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 447,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,6670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,6670) x common factors =1 x 1 = 1
LCM(447,6670) = ( 447 × 6670 ) / 1
LCM(447,6670) = 2981490 / 1
LCM(447,6670) = 2981490
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FAQs on GCF of Fractions of 5024/447, 2656/6670
1. What is the HCF of 5024,2656?
The HCF of 5024,2656 is 32
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 5024/447, 2656/6670?
Answer: GCF of Numerators as per given numbers 5024/447, 2656/6670 is
GCF of Numerators i.e. for 5024,2656 is 32
LCM of denominators i.e. for 447,6670 is 2981490.
Thus, GCF of Fractions is 32/2981490.Finally, GCF of Fractions for 5024/447, 2656/6670 is 32/2981490.