GCF of 6703/285, 7564/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6703/285, 7564/700 i.e 1/39900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6703/285, 7564/700.
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 6703/285,7564/700?
Given fractions are 6703/285,7564/700
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 6703/285,7564/700, numerators are 6703,7564
Denominators are 285,700
The GCF of 6703,7564 is 1 .
LCM of 285,700 is 39900.
The greatest common factor of 6703/285,7564/700 = [GCF of 6703,7564]/[LCM of 285,700]= 1/39900
Therefore, the GCF of 6703/285,7564/700 is 1/39900.
To find the highest common factor of 6703,7564, we have to find the factors of both numbers and list the highest common factor.
The factors of 6703 are 1, 6703
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The HCF of 6703,7564 is 1.
Lets's calculate GCF of 6703,7564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6703,7564 By Matching Biggest Common Factor Method
Now, list down the factors of 6703
:1,6703
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Greatest Common Factor
We found the factors 6703,7564 . The biggest common factor number is the GCF number.
So the greatest common factor 6703,7564 is 1.
Lets's calculate LCM of 285,700
| 5 | 285, 700 |
| 57, 140 |
∴ So the LCM of the given numbers is 5 x 57 x 140 = 39900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39900
Therefore, the GCF of Fractions 6703/285,7564/700 is 1/39900
Least Common Multiple of 285,700 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 285,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,700) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(285,700) x common factors =5 x 1 = 5
LCM(285,700) = ( 285 × 700 ) / 5
LCM(285,700) = 199500 / 5
LCM(285,700) = 39900
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FAQs on GCF of Fractions of 6703/285, 7564/700
1. What is the HCF of 6703,7564?
The HCF of 6703,7564 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 6703/285, 7564/700?
Answer: GCF of Numerators as per given numbers 6703/285, 7564/700 is
GCF of Numerators i.e. for 6703,7564 is 1
LCM of denominators i.e. for 285,700 is 39900.
Thus, GCF of Fractions is 1/39900.Finally, GCF of Fractions for 6703/285, 7564/700 is 1/39900.