GCF of 2884/157, 9548/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2884/157, 9548/210 i.e 28/32970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2884/157, 9548/210.
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 2884/157,9548/210?
Given fractions are 2884/157,9548/210
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 2884/157,9548/210, numerators are 2884,9548
Denominators are 157,210
The GCF of 2884,9548 is 28 .
LCM of 157,210 is 32970.
The greatest common factor of 2884/157,9548/210 = [GCF of 2884,9548]/[LCM of 157,210]= 28/32970
Therefore, the GCF of 2884/157,9548/210 is 28/32970.
To find the highest common factor of 2884,9548, we have to find the factors of both numbers and list the highest common factor.
The factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884
The factors of 9548 are 1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 62, 77, 124, 154, 217, 308, 341, 434, 682, 868, 1364, 2387, 4774, 9548
The HCF of 2884,9548 is 28.
Lets's calculate GCF of 2884,9548
| 2 | 2884, 9548 |
| 2 | 1442, 4774 |
| 7 | 721, 2387 |
| 103, 341 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 2884,9548 By Matching Biggest Common Factor Method
Now, list down the factors of 2884
:1,2,4,7,14,28,103,206,412,721,1442,2884
Now, list down the factors of 9548
:1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Greatest Common Factor
We found the factors 2884,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 2884,9548 is 28.
Lets's calculate LCM of 157,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 32970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/32970
Therefore, the GCF of Fractions 2884/157,9548/210 is 28/32970
Least Common Multiple of 157,210 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 157,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,210) x common factors =1 x 1 = 1
LCM(157,210) = ( 157 × 210 ) / 1
LCM(157,210) = 32970 / 1
LCM(157,210) = 32970
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FAQs on GCF of Fractions of 2884/157, 9548/210
1. What is the HCF of 2884,9548?
The HCF of 2884,9548 is 28
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 2884/157, 9548/210?
Answer: GCF of Numerators as per given numbers 2884/157, 9548/210 is
GCF of Numerators i.e. for 2884,9548 is 28
LCM of denominators i.e. for 157,210 is 32970.
Thus, GCF of Fractions is 28/32970.Finally, GCF of Fractions for 2884/157, 9548/210 is 28/32970.