GCF of 710/567, 829/971, 768/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/567, 829/971, 768/657 i.e 1/40190661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/567, 829/971, 768/657.
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 710/567,829/971,768/657?
Given fractions are 710/567,829/971,768/657
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 710/567,829/971,768/657, numerators are 710,829,768
Denominators are 567,971,657
The GCF of 710,829,768 is 1 .
LCM of 567,971,657 is 40190661.
The greatest common factor of 710/567,829/971,768/657 = [GCF of 710,829,768]/[LCM of 567,971,657]= 1/40190661
Therefore, the GCF of 710/567,829/971,768/657 is 1/40190661.
To find the highest common factor of 710,829,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 829 are 1, 829
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 710,829,768 is 1.
Lets's calculate GCF of 710,829,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 710,829,768 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 829
:1,829
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 710,829,768 . The biggest common factor number is the GCF number.
So the greatest common factor 710,829,768 is 1.
Lets's calculate LCM of 567,971,657
| 3 | 567, 971, 657 |
| 3 | 189, 971, 219 |
| 63, 971, 73 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 971 x 73 = 40190661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40190661
Therefore, the GCF of Fractions 710/567,829/971,768/657 is 1/40190661
Least Common Multiple of 567,971,657 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 567,971,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,971,657) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(567,971,657) x common factors =1 x 9 = 9
LCM(567,971,657) = ( 567 × 971 × 657 ) / 9
LCM(567,971,657) = 361715949 / 9
LCM(567,971,657) = 40190661
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FAQs on GCF of Fractions of 710/567, 829/971, 768/657
1. What is the HCF of 710,829,768?
The HCF of 710,829,768 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 710/567, 829/971, 768/657?
Answer: GCF of Numerators as per given numbers 710/567, 829/971, 768/657 is
GCF of Numerators i.e. for 710,829,768 is 1
LCM of denominators i.e. for 567,971,657 is 40190661.
Thus, GCF of Fractions is 1/40190661.Finally, GCF of Fractions for 710/567, 829/971, 768/657 is 1/40190661.