GCF of 752/207, 117/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 752/207, 117/978 i.e 1/67482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/207, 117/978.
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 752/207,117/978?
Given fractions are 752/207,117/978
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 752/207,117/978, numerators are 752,117
Denominators are 207,978
The GCF of 752,117 is 1 .
LCM of 207,978 is 67482.
The greatest common factor of 752/207,117/978 = [GCF of 752,117]/[LCM of 207,978]= 1/67482
Therefore, the GCF of 752/207,117/978 is 1/67482.
To find the highest common factor of 752,117, 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 117 are 1, 3, 9, 13, 39, 117
The HCF of 752,117 is 1.
Lets's calculate GCF of 752,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 752,117 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 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 752,117 . The biggest common factor number is the GCF number.
So the greatest common factor 752,117 is 1.
Lets's calculate LCM of 207,978
| 3 | 207, 978 |
| 69, 326 |
∴ So the LCM of the given numbers is 3 x 69 x 326 = 67482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67482
Therefore, the GCF of Fractions 752/207,117/978 is 1/67482
Least Common Multiple of 207,978 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 207,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,978) x common factors =3 x 1 = 3
LCM(207,978) = ( 207 × 978 ) / 3
LCM(207,978) = 202446 / 3
LCM(207,978) = 67482
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FAQs on GCF of Fractions of 752/207, 117/978
1. What is the HCF of 752,117?
The HCF of 752,117 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 752/207, 117/978?
Answer: GCF of Numerators as per given numbers 752/207, 117/978 is
GCF of Numerators i.e. for 752,117 is 1
LCM of denominators i.e. for 207,978 is 67482.
Thus, GCF of Fractions is 1/67482.Finally, GCF of Fractions for 752/207, 117/978 is 1/67482.