GCF of 4567/750, 2795/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4567/750, 2795/505 i.e 1/75750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4567/750, 2795/505.
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 4567/750,2795/505?
Given fractions are 4567/750,2795/505
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 4567/750,2795/505, numerators are 4567,2795
Denominators are 750,505
The GCF of 4567,2795 is 1 .
LCM of 750,505 is 75750.
The greatest common factor of 4567/750,2795/505 = [GCF of 4567,2795]/[LCM of 750,505]= 1/75750
Therefore, the GCF of 4567/750,2795/505 is 1/75750.
To find the highest common factor of 4567,2795, we have to find the factors of both numbers and list the highest common factor.
The factors of 4567 are 1, 4567
The factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795
The HCF of 4567,2795 is 1.
Lets's calculate GCF of 4567,2795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4567,2795 By Matching Biggest Common Factor Method
Now, list down the factors of 4567
:1,4567
Now, list down the factors of 2795
:1,5,13,43,65,215,559,2795
Greatest Common Factor
We found the factors 4567,2795 . The biggest common factor number is the GCF number.
So the greatest common factor 4567,2795 is 1.
Lets's calculate LCM of 750,505
| 5 | 750, 505 |
| 150, 101 |
∴ So the LCM of the given numbers is 5 x 150 x 101 = 75750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75750
Therefore, the GCF of Fractions 4567/750,2795/505 is 1/75750
Least Common Multiple of 750,505 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 750,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(750,505) x common factors =5 x 1 = 5
LCM(750,505) = ( 750 × 505 ) / 5
LCM(750,505) = 378750 / 5
LCM(750,505) = 75750
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FAQs on GCF of Fractions of 4567/750, 2795/505
1. What is the HCF of 4567,2795?
The HCF of 4567,2795 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 4567/750, 2795/505?
Answer: GCF of Numerators as per given numbers 4567/750, 2795/505 is
GCF of Numerators i.e. for 4567,2795 is 1
LCM of denominators i.e. for 750,505 is 75750.
Thus, GCF of Fractions is 1/75750.Finally, GCF of Fractions for 4567/750, 2795/505 is 1/75750.