GCF of 3750/497, 7410/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3750/497, 7410/759 i.e 30/377223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3750/497, 7410/759.
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 3750/497,7410/759?
Given fractions are 3750/497,7410/759
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 3750/497,7410/759, numerators are 3750,7410
Denominators are 497,759
The GCF of 3750,7410 is 30 .
LCM of 497,759 is 377223.
The greatest common factor of 3750/497,7410/759 = [GCF of 3750,7410]/[LCM of 497,759]= 30/377223
Therefore, the GCF of 3750/497,7410/759 is 30/377223.
To find the highest common factor of 3750,7410, we have to find the factors of both numbers and list the highest common factor.
The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The HCF of 3750,7410 is 30.
Lets's calculate GCF of 3750,7410
| 2 | 3750, 7410 |
| 3 | 1875, 3705 |
| 5 | 625, 1235 |
| 125, 247 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3750,7410 By Matching Biggest Common Factor Method
Now, list down the factors of 3750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 3750,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 3750,7410 is 30.
Lets's calculate LCM of 497,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 377223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/377223
Therefore, the GCF of Fractions 3750/497,7410/759 is 30/377223
Least Common Multiple of 497,759 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 497,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,759) x common factors =1 x 1 = 1
LCM(497,759) = ( 497 × 759 ) / 1
LCM(497,759) = 377223 / 1
LCM(497,759) = 377223
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FAQs on GCF of Fractions of 3750/497, 7410/759
1. What is the HCF of 3750,7410?
The HCF of 3750,7410 is 30
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 3750/497, 7410/759?
Answer: GCF of Numerators as per given numbers 3750/497, 7410/759 is
GCF of Numerators i.e. for 3750,7410 is 30
LCM of denominators i.e. for 497,759 is 377223.
Thus, GCF of Fractions is 30/377223.Finally, GCF of Fractions for 3750/497, 7410/759 is 30/377223.