GCF of 5628/147, 7112/4167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5628/147, 7112/4167 i.e 28/204183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5628/147, 7112/4167.
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 5628/147,7112/4167?
Given fractions are 5628/147,7112/4167
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 5628/147,7112/4167, numerators are 5628,7112
Denominators are 147,4167
The GCF of 5628,7112 is 28 .
LCM of 147,4167 is 204183.
The greatest common factor of 5628/147,7112/4167 = [GCF of 5628,7112]/[LCM of 147,4167]= 28/204183
Therefore, the GCF of 5628/147,7112/4167 is 28/204183.
To find the highest common factor of 5628,7112, we have to find the factors of both numbers and list the highest common factor.
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The HCF of 5628,7112 is 28.
Lets's calculate GCF of 5628,7112
| 2 | 5628, 7112 |
| 2 | 2814, 3556 |
| 7 | 1407, 1778 |
| 201, 254 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 5628,7112 By Matching Biggest Common Factor Method
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 5628,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 5628,7112 is 28.
Lets's calculate LCM of 147,4167
| 3 | 147, 4167 |
| 49, 1389 |
∴ So the LCM of the given numbers is 3 x 49 x 1389 = 204183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/204183
Therefore, the GCF of Fractions 5628/147,7112/4167 is 28/204183
Least Common Multiple of 147,4167 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 147,4167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,4167) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,4167) x common factors =3 x 1 = 3
LCM(147,4167) = ( 147 × 4167 ) / 3
LCM(147,4167) = 612549 / 3
LCM(147,4167) = 204183
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FAQs on GCF of Fractions of 5628/147, 7112/4167
1. What is the HCF of 5628,7112?
The HCF of 5628,7112 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 5628/147, 7112/4167?
Answer: GCF of Numerators as per given numbers 5628/147, 7112/4167 is
GCF of Numerators i.e. for 5628,7112 is 28
LCM of denominators i.e. for 147,4167 is 204183.
Thus, GCF of Fractions is 28/204183.Finally, GCF of Fractions for 5628/147, 7112/4167 is 28/204183.