GCF of 5025/116, 9856/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5025/116, 9856/7132 i.e 1/206828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5025/116, 9856/7132.
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 5025/116,9856/7132?
Given fractions are 5025/116,9856/7132
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 5025/116,9856/7132, numerators are 5025,9856
Denominators are 116,7132
The GCF of 5025,9856 is 1 .
LCM of 116,7132 is 206828.
The greatest common factor of 5025/116,9856/7132 = [GCF of 5025,9856]/[LCM of 116,7132]= 1/206828
Therefore, the GCF of 5025/116,9856/7132 is 1/206828.
To find the highest common factor of 5025,9856, we have to find the factors of both numbers and list the highest common factor.
The factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025
The factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856
The HCF of 5025,9856 is 1.
Lets's calculate GCF of 5025,9856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5025,9856 By Matching Biggest Common Factor Method
Now, list down the factors of 5025
:1,3,5,15,25,67,75,201,335,1005,1675,5025
Now, list down the factors of 9856
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Greatest Common Factor
We found the factors 5025,9856 . The biggest common factor number is the GCF number.
So the greatest common factor 5025,9856 is 1.
Lets's calculate LCM of 116,7132
| 2 | 116, 7132 |
| 2 | 58, 3566 |
| 29, 1783 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 1783 = 206828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206828
Therefore, the GCF of Fractions 5025/116,9856/7132 is 1/206828
Least Common Multiple of 116,7132 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 116,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,7132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,7132) x common factors =4 x 1 = 4
LCM(116,7132) = ( 116 × 7132 ) / 4
LCM(116,7132) = 827312 / 4
LCM(116,7132) = 206828
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FAQs on GCF of Fractions of 5025/116, 9856/7132
1. What is the HCF of 5025,9856?
The HCF of 5025,9856 is 1
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 5025/116, 9856/7132?
Answer: GCF of Numerators as per given numbers 5025/116, 9856/7132 is
GCF of Numerators i.e. for 5025,9856 is 1
LCM of denominators i.e. for 116,7132 is 206828.
Thus, GCF of Fractions is 1/206828.Finally, GCF of Fractions for 5025/116, 9856/7132 is 1/206828.