GCF of 6525/574, 4657/7540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6525/574, 4657/7540 i.e 1/2163980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6525/574, 4657/7540.
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 6525/574,4657/7540?
Given fractions are 6525/574,4657/7540
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 6525/574,4657/7540, numerators are 6525,4657
Denominators are 574,7540
The GCF of 6525,4657 is 1 .
LCM of 574,7540 is 2163980.
The greatest common factor of 6525/574,4657/7540 = [GCF of 6525,4657]/[LCM of 574,7540]= 1/2163980
Therefore, the GCF of 6525/574,4657/7540 is 1/2163980.
To find the highest common factor of 6525,4657, we have to find the factors of both numbers and list the highest common factor.
The factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525
The factors of 4657 are 1, 4657
The HCF of 6525,4657 is 1.
Lets's calculate GCF of 6525,4657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6525,4657 By Matching Biggest Common Factor Method
Now, list down the factors of 6525
:1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525
Now, list down the factors of 4657
:1,4657
Greatest Common Factor
We found the factors 6525,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 6525,4657 is 1.
Lets's calculate LCM of 574,7540
| 2 | 574, 7540 |
| 287, 3770 |
∴ So the LCM of the given numbers is 2 x 287 x 3770 = 2163980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2163980
Therefore, the GCF of Fractions 6525/574,4657/7540 is 1/2163980
Least Common Multiple of 574,7540 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 574,7540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7540) x common factors =2 x 1 = 2
LCM(574,7540) = ( 574 × 7540 ) / 2
LCM(574,7540) = 4327960 / 2
LCM(574,7540) = 2163980
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FAQs on GCF of Fractions of 6525/574, 4657/7540
1. What is the HCF of 6525,4657?
The HCF of 6525,4657 is 1
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 6525/574, 4657/7540?
Answer: GCF of Numerators as per given numbers 6525/574, 4657/7540 is
GCF of Numerators i.e. for 6525,4657 is 1
LCM of denominators i.e. for 574,7540 is 2163980.
Thus, GCF of Fractions is 1/2163980.Finally, GCF of Fractions for 6525/574, 4657/7540 is 1/2163980.