GCF of 5925/344, 7350/8277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5925/344, 7350/8277 i.e 75/2847288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5925/344, 7350/8277.
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 5925/344,7350/8277?
Given fractions are 5925/344,7350/8277
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 5925/344,7350/8277, numerators are 5925,7350
Denominators are 344,8277
The GCF of 5925,7350 is 75 .
LCM of 344,8277 is 2847288.
The greatest common factor of 5925/344,7350/8277 = [GCF of 5925,7350]/[LCM of 344,8277]= 75/2847288
Therefore, the GCF of 5925/344,7350/8277 is 75/2847288.
To find the highest common factor of 5925,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 5925,7350 is 75.
Lets's calculate GCF of 5925,7350
| 3 | 5925, 7350 |
| 5 | 1975, 2450 |
| 5 | 395, 490 |
| 79, 98 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 5925,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 5925
:1,3,5,15,25,75,79,237,395,1185,1975,5925
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 5925,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 5925,7350 is 75.
Lets's calculate LCM of 344,8277
Given numbers has no common factors except 1. So, there LCM is their product i.e 2847288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/2847288
Therefore, the GCF of Fractions 5925/344,7350/8277 is 75/2847288
Least Common Multiple of 344,8277 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 344,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,8277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,8277) x common factors =1 x 1 = 1
LCM(344,8277) = ( 344 × 8277 ) / 1
LCM(344,8277) = 2847288 / 1
LCM(344,8277) = 2847288
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FAQs on GCF of Fractions of 5925/344, 7350/8277
1. What is the HCF of 5925,7350?
The HCF of 5925,7350 is 75
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 5925/344, 7350/8277?
Answer: GCF of Numerators as per given numbers 5925/344, 7350/8277 is
GCF of Numerators i.e. for 5925,7350 is 75
LCM of denominators i.e. for 344,8277 is 2847288.
Thus, GCF of Fractions is 75/2847288.Finally, GCF of Fractions for 5925/344, 7350/8277 is 75/2847288.