GCF of 7762/752, 9785/7988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7762/752, 9785/7988 i.e 1/1501744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7762/752, 9785/7988.
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 7762/752,9785/7988?
Given fractions are 7762/752,9785/7988
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 7762/752,9785/7988, numerators are 7762,9785
Denominators are 752,7988
The GCF of 7762,9785 is 1 .
LCM of 752,7988 is 1501744.
The greatest common factor of 7762/752,9785/7988 = [GCF of 7762,9785]/[LCM of 752,7988]= 1/1501744
Therefore, the GCF of 7762/752,9785/7988 is 1/1501744.
To find the highest common factor of 7762,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 7762 are 1, 2, 3881, 7762
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 7762,9785 is 1.
Lets's calculate GCF of 7762,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7762,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 7762
:1,2,3881,7762
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 7762,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 7762,9785 is 1.
Lets's calculate LCM of 752,7988
| 2 | 752, 7988 |
| 2 | 376, 3994 |
| 188, 1997 |
∴ So the LCM of the given numbers is 2 x 2 x 188 x 1997 = 1501744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1501744
Therefore, the GCF of Fractions 7762/752,9785/7988 is 1/1501744
Least Common Multiple of 752,7988 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 752,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,7988) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(752,7988) x common factors =4 x 1 = 4
LCM(752,7988) = ( 752 × 7988 ) / 4
LCM(752,7988) = 6006976 / 4
LCM(752,7988) = 1501744
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FAQs on GCF of Fractions of 7762/752, 9785/7988
1. What is the HCF of 7762,9785?
The HCF of 7762,9785 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 7762/752, 9785/7988?
Answer: GCF of Numerators as per given numbers 7762/752, 9785/7988 is
GCF of Numerators i.e. for 7762,9785 is 1
LCM of denominators i.e. for 752,7988 is 1501744.
Thus, GCF of Fractions is 1/1501744.Finally, GCF of Fractions for 7762/752, 9785/7988 is 1/1501744.