GCF of 1484/889, 7056/6300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1484/889, 7056/6300 i.e 28/800100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1484/889, 7056/6300.
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 1484/889,7056/6300?
Given fractions are 1484/889,7056/6300
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 1484/889,7056/6300, numerators are 1484,7056
Denominators are 889,6300
The GCF of 1484,7056 is 28 .
LCM of 889,6300 is 800100.
The greatest common factor of 1484/889,7056/6300 = [GCF of 1484,7056]/[LCM of 889,6300]= 28/800100
Therefore, the GCF of 1484/889,7056/6300 is 28/800100.
To find the highest common factor of 1484,7056, we have to find the factors of both numbers and list the highest common factor.
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The HCF of 1484,7056 is 28.
Lets's calculate GCF of 1484,7056
| 2 | 1484, 7056 |
| 2 | 742, 3528 |
| 7 | 371, 1764 |
| 53, 252 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1484,7056 By Matching Biggest Common Factor Method
Now, list down the factors of 1484
:1,2,4,7,14,28,53,106,212,371,742,1484
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Greatest Common Factor
We found the factors 1484,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,7056 is 28.
Lets's calculate LCM of 889,6300
| 7 | 889, 6300 |
| 127, 900 |
∴ So the LCM of the given numbers is 7 x 127 x 900 = 800100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/800100
Therefore, the GCF of Fractions 1484/889,7056/6300 is 28/800100
Least Common Multiple of 889,6300 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 889,6300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,6300) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(889,6300) x common factors =7 x 1 = 7
LCM(889,6300) = ( 889 × 6300 ) / 7
LCM(889,6300) = 5600700 / 7
LCM(889,6300) = 800100
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1484/889, 7056/6300
1. What is the HCF of 1484,7056?
The HCF of 1484,7056 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 1484/889, 7056/6300?
Answer: GCF of Numerators as per given numbers 1484/889, 7056/6300 is
GCF of Numerators i.e. for 1484,7056 is 28
LCM of denominators i.e. for 889,6300 is 800100.
Thus, GCF of Fractions is 28/800100.Finally, GCF of Fractions for 1484/889, 7056/6300 is 28/800100.