GCF of 8457/707, 7780/8729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8457/707, 7780/8729 i.e 1/881629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8457/707, 7780/8729.
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 8457/707,7780/8729?
Given fractions are 8457/707,7780/8729
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 8457/707,7780/8729, numerators are 8457,7780
Denominators are 707,8729
The GCF of 8457,7780 is 1 .
LCM of 707,8729 is 881629.
The greatest common factor of 8457/707,7780/8729 = [GCF of 8457,7780]/[LCM of 707,8729]= 1/881629
Therefore, the GCF of 8457/707,7780/8729 is 1/881629.
To find the highest common factor of 8457,7780, we have to find the factors of both numbers and list the highest common factor.
The factors of 8457 are 1, 3, 2819, 8457
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The HCF of 8457,7780 is 1.
Lets's calculate GCF of 8457,7780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8457,7780 By Matching Biggest Common Factor Method
Now, list down the factors of 8457
:1,3,2819,8457
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 8457,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 8457,7780 is 1.
Lets's calculate LCM of 707,8729
| 7 | 707, 8729 |
| 101, 1247 |
∴ So the LCM of the given numbers is 7 x 101 x 1247 = 881629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/881629
Therefore, the GCF of Fractions 8457/707,7780/8729 is 1/881629
Least Common Multiple of 707,8729 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 707,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,8729) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,8729) x common factors =7 x 1 = 7
LCM(707,8729) = ( 707 × 8729 ) / 7
LCM(707,8729) = 6171403 / 7
LCM(707,8729) = 881629
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FAQs on GCF of Fractions of 8457/707, 7780/8729
1. What is the HCF of 8457,7780?
The HCF of 8457,7780 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 8457/707, 7780/8729?
Answer: GCF of Numerators as per given numbers 8457/707, 7780/8729 is
GCF of Numerators i.e. for 8457,7780 is 1
LCM of denominators i.e. for 707,8729 is 881629.
Thus, GCF of Fractions is 1/881629.Finally, GCF of Fractions for 8457/707, 7780/8729 is 1/881629.