GCF of 7196/736, 1380/4707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7196/736, 1380/4707 i.e 4/3464352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7196/736, 1380/4707.
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 7196/736,1380/4707?
Given fractions are 7196/736,1380/4707
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 7196/736,1380/4707, numerators are 7196,1380
Denominators are 736,4707
The GCF of 7196,1380 is 4 .
LCM of 736,4707 is 3464352.
The greatest common factor of 7196/736,1380/4707 = [GCF of 7196,1380]/[LCM of 736,4707]= 4/3464352
Therefore, the GCF of 7196/736,1380/4707 is 4/3464352.
To find the highest common factor of 7196,1380, we have to find the factors of both numbers and list the highest common factor.
The factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196
The factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380
The HCF of 7196,1380 is 4.
Lets's calculate GCF of 7196,1380
| 2 | 7196, 1380 |
| 2 | 3598, 690 |
| 1799, 345 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7196,1380 By Matching Biggest Common Factor Method
Now, list down the factors of 7196
:1,2,4,7,14,28,257,514,1028,1799,3598,7196
Now, list down the factors of 1380
:1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380
Greatest Common Factor
We found the factors 7196,1380 . The biggest common factor number is the GCF number.
So the greatest common factor 7196,1380 is 4.
Lets's calculate LCM of 736,4707
Given numbers has no common factors except 1. So, there LCM is their product i.e 3464352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3464352
Therefore, the GCF of Fractions 7196/736,1380/4707 is 4/3464352
Least Common Multiple of 736,4707 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 736,4707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,4707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,4707) x common factors =1 x 1 = 1
LCM(736,4707) = ( 736 × 4707 ) / 1
LCM(736,4707) = 3464352 / 1
LCM(736,4707) = 3464352
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FAQs on GCF of Fractions of 7196/736, 1380/4707
1. What is the HCF of 7196,1380?
The HCF of 7196,1380 is 4
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 7196/736, 1380/4707?
Answer: GCF of Numerators as per given numbers 7196/736, 1380/4707 is
GCF of Numerators i.e. for 7196,1380 is 4
LCM of denominators i.e. for 736,4707 is 3464352.
Thus, GCF of Fractions is 4/3464352.Finally, GCF of Fractions for 7196/736, 1380/4707 is 4/3464352.