GCF of 126/625, 130/759, 677/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 126/625, 130/759, 677/961 i.e 1/455874375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/625, 130/759, 677/961.
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 126/625,130/759,677/961?
Given fractions are 126/625,130/759,677/961
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 126/625,130/759,677/961, numerators are 126,130,677
Denominators are 625,759,961
The GCF of 126,130,677 is 1 .
LCM of 625,759,961 is 455874375.
The greatest common factor of 126/625,130/759,677/961 = [GCF of 126,130,677]/[LCM of 625,759,961]= 1/455874375
Therefore, the GCF of 126/625,130/759,677/961 is 1/455874375.
To find the highest common factor of 126,130,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 677 are 1, 677
The HCF of 126,130,677 is 1.
Lets's calculate GCF of 126,130,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 126,130,677 By Matching Biggest Common Factor Method
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 126,130,677 . The biggest common factor number is the GCF number.
So the greatest common factor 126,130,677 is 1.
Lets's calculate LCM of 625,759,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 455874375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455874375
Therefore, the GCF of Fractions 126/625,130/759,677/961 is 1/455874375
Least Common Multiple of 625,759,961 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 625,759,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,759,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,759,961) x common factors =1 x 1 = 1
LCM(625,759,961) = ( 625 × 759 × 961 ) / 1
LCM(625,759,961) = 455874375 / 1
LCM(625,759,961) = 455874375
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FAQs on GCF of Fractions of 126/625, 130/759, 677/961
1. What is the HCF of 126,130,677?
The HCF of 126,130,677 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 126/625, 130/759, 677/961?
Answer: GCF of Numerators as per given numbers 126/625, 130/759, 677/961 is
GCF of Numerators i.e. for 126,130,677 is 1
LCM of denominators i.e. for 625,759,961 is 455874375.
Thus, GCF of Fractions is 1/455874375.Finally, GCF of Fractions for 126/625, 130/759, 677/961 is 1/455874375.