GCF of 752/750, 561/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 752/750, 561/357 i.e 1/89250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/750, 561/357.
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 752/750,561/357?
Given fractions are 752/750,561/357
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 752/750,561/357, numerators are 752,561
Denominators are 750,357
The GCF of 752,561 is 1 .
LCM of 750,357 is 89250.
The greatest common factor of 752/750,561/357 = [GCF of 752,561]/[LCM of 750,357]= 1/89250
Therefore, the GCF of 752/750,561/357 is 1/89250.
To find the highest common factor of 752,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 752,561 is 1.
Lets's calculate GCF of 752,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 752,561 By Matching Biggest Common Factor Method
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 752,561 . The biggest common factor number is the GCF number.
So the greatest common factor 752,561 is 1.
Lets's calculate LCM of 750,357
| 3 | 750, 357 |
| 250, 119 |
∴ So the LCM of the given numbers is 3 x 250 x 119 = 89250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89250
Therefore, the GCF of Fractions 752/750,561/357 is 1/89250
Least Common Multiple of 750,357 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 750,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(750,357) x common factors =3 x 1 = 3
LCM(750,357) = ( 750 × 357 ) / 3
LCM(750,357) = 267750 / 3
LCM(750,357) = 89250
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FAQs on GCF of Fractions of 752/750, 561/357
1. What is the HCF of 752,561?
The HCF of 752,561 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 752/750, 561/357?
Answer: GCF of Numerators as per given numbers 752/750, 561/357 is
GCF of Numerators i.e. for 752,561 is 1
LCM of denominators i.e. for 750,357 is 89250.
Thus, GCF of Fractions is 1/89250.Finally, GCF of Fractions for 752/750, 561/357 is 1/89250.