GCF of 1316/154, 2800/7354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1316/154, 2800/7354 i.e 28/566258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1316/154, 2800/7354.
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 1316/154,2800/7354?
Given fractions are 1316/154,2800/7354
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 1316/154,2800/7354, numerators are 1316,2800
Denominators are 154,7354
The GCF of 1316,2800 is 28 .
LCM of 154,7354 is 566258.
The greatest common factor of 1316/154,2800/7354 = [GCF of 1316,2800]/[LCM of 154,7354]= 28/566258
Therefore, the GCF of 1316/154,2800/7354 is 28/566258.
To find the highest common factor of 1316,2800, we have to find the factors of both numbers and list the highest common factor.
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
The HCF of 1316,2800 is 28.
Lets's calculate GCF of 1316,2800
| 2 | 1316, 2800 |
| 2 | 658, 1400 |
| 7 | 329, 700 |
| 47, 100 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1316,2800 By Matching Biggest Common Factor Method
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Now, list down the factors of 2800
:1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800
Greatest Common Factor
We found the factors 1316,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,2800 is 28.
Lets's calculate LCM of 154,7354
| 2 | 154, 7354 |
| 77, 3677 |
∴ So the LCM of the given numbers is 2 x 77 x 3677 = 566258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/566258
Therefore, the GCF of Fractions 1316/154,2800/7354 is 28/566258
Least Common Multiple of 154,7354 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 154,7354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,7354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,7354) x common factors =2 x 1 = 2
LCM(154,7354) = ( 154 × 7354 ) / 2
LCM(154,7354) = 1132516 / 2
LCM(154,7354) = 566258
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FAQs on GCF of Fractions of 1316/154, 2800/7354
1. What is the HCF of 1316,2800?
The HCF of 1316,2800 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 1316/154, 2800/7354?
Answer: GCF of Numerators as per given numbers 1316/154, 2800/7354 is
GCF of Numerators i.e. for 1316,2800 is 28
LCM of denominators i.e. for 154,7354 is 566258.
Thus, GCF of Fractions is 28/566258.Finally, GCF of Fractions for 1316/154, 2800/7354 is 28/566258.