GCF of 7467/549, 8785/7260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7467/549, 8785/7260 i.e 1/1328580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7467/549, 8785/7260.
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 7467/549,8785/7260?
Given fractions are 7467/549,8785/7260
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 7467/549,8785/7260, numerators are 7467,8785
Denominators are 549,7260
The GCF of 7467,8785 is 1 .
LCM of 549,7260 is 1328580.
The greatest common factor of 7467/549,8785/7260 = [GCF of 7467,8785]/[LCM of 549,7260]= 1/1328580
Therefore, the GCF of 7467/549,8785/7260 is 1/1328580.
To find the highest common factor of 7467,8785, we have to find the factors of both numbers and list the highest common factor.
The factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467
The factors of 8785 are 1, 5, 7, 35, 251, 1255, 1757, 8785
The HCF of 7467,8785 is 1.
Lets's calculate GCF of 7467,8785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7467,8785 By Matching Biggest Common Factor Method
Now, list down the factors of 7467
:1,3,19,57,131,393,2489,7467
Now, list down the factors of 8785
:1,5,7,35,251,1255,1757,8785
Greatest Common Factor
We found the factors 7467,8785 . The biggest common factor number is the GCF number.
So the greatest common factor 7467,8785 is 1.
Lets's calculate LCM of 549,7260
| 3 | 549, 7260 |
| 183, 2420 |
∴ So the LCM of the given numbers is 3 x 183 x 2420 = 1328580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328580
Therefore, the GCF of Fractions 7467/549,8785/7260 is 1/1328580
Least Common Multiple of 549,7260 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 549,7260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,7260) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,7260) x common factors =3 x 1 = 3
LCM(549,7260) = ( 549 × 7260 ) / 3
LCM(549,7260) = 3985740 / 3
LCM(549,7260) = 1328580
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FAQs on GCF of Fractions of 7467/549, 8785/7260
1. What is the HCF of 7467,8785?
The HCF of 7467,8785 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 7467/549, 8785/7260?
Answer: GCF of Numerators as per given numbers 7467/549, 8785/7260 is
GCF of Numerators i.e. for 7467,8785 is 1
LCM of denominators i.e. for 549,7260 is 1328580.
Thus, GCF of Fractions is 1/1328580.Finally, GCF of Fractions for 7467/549, 8785/7260 is 1/1328580.