GCF of 616/236, 1750/1420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/236, 1750/1420 i.e 14/83780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/236, 1750/1420.
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 616/236,1750/1420?
Given fractions are 616/236,1750/1420
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 616/236,1750/1420, numerators are 616,1750
Denominators are 236,1420
The GCF of 616,1750 is 14 .
LCM of 236,1420 is 83780.
The greatest common factor of 616/236,1750/1420 = [GCF of 616,1750]/[LCM of 236,1420]= 14/83780
Therefore, the GCF of 616/236,1750/1420 is 14/83780.
To find the highest common factor of 616,1750, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The HCF of 616,1750 is 14.
Lets's calculate GCF of 616,1750
| 2 | 616, 1750 |
| 7 | 308, 875 |
| 44, 125 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 616,1750 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 616,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 616,1750 is 14.
Lets's calculate LCM of 236,1420
| 2 | 236, 1420 |
| 2 | 118, 710 |
| 59, 355 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 355 = 83780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/83780
Therefore, the GCF of Fractions 616/236,1750/1420 is 14/83780
Least Common Multiple of 236,1420 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 236,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,1420) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,1420) x common factors =4 x 1 = 4
LCM(236,1420) = ( 236 × 1420 ) / 4
LCM(236,1420) = 335120 / 4
LCM(236,1420) = 83780
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FAQs on GCF of Fractions of 616/236, 1750/1420
1. What is the HCF of 616,1750?
The HCF of 616,1750 is 14
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 616/236, 1750/1420?
Answer: GCF of Numerators as per given numbers 616/236, 1750/1420 is
GCF of Numerators i.e. for 616,1750 is 14
LCM of denominators i.e. for 236,1420 is 83780.
Thus, GCF of Fractions is 14/83780.Finally, GCF of Fractions for 616/236, 1750/1420 is 14/83780.