GCF of 1067/955, 1951/3280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1067/955, 1951/3280 i.e 1/626480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1067/955, 1951/3280.
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 1067/955,1951/3280?
Given fractions are 1067/955,1951/3280
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 1067/955,1951/3280, numerators are 1067,1951
Denominators are 955,3280
The GCF of 1067,1951 is 1 .
LCM of 955,3280 is 626480.
The greatest common factor of 1067/955,1951/3280 = [GCF of 1067,1951]/[LCM of 955,3280]= 1/626480
Therefore, the GCF of 1067/955,1951/3280 is 1/626480.
To find the highest common factor of 1067,1951, we have to find the factors of both numbers and list the highest common factor.
The factors of 1067 are 1, 11, 97, 1067
The factors of 1951 are 1, 1951
The HCF of 1067,1951 is 1.
Lets's calculate GCF of 1067,1951
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1067,1951 By Matching Biggest Common Factor Method
Now, list down the factors of 1067
:1,11,97,1067
Now, list down the factors of 1951
:1,1951
Greatest Common Factor
We found the factors 1067,1951 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,1951 is 1.
Lets's calculate LCM of 955,3280
| 5 | 955, 3280 |
| 191, 656 |
∴ So the LCM of the given numbers is 5 x 191 x 656 = 626480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626480
Therefore, the GCF of Fractions 1067/955,1951/3280 is 1/626480
Least Common Multiple of 955,3280 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 955,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,3280) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(955,3280) x common factors =5 x 1 = 5
LCM(955,3280) = ( 955 × 3280 ) / 5
LCM(955,3280) = 3132400 / 5
LCM(955,3280) = 626480
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FAQs on GCF of Fractions of 1067/955, 1951/3280
1. What is the HCF of 1067,1951?
The HCF of 1067,1951 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 1067/955, 1951/3280?
Answer: GCF of Numerators as per given numbers 1067/955, 1951/3280 is
GCF of Numerators i.e. for 1067,1951 is 1
LCM of denominators i.e. for 955,3280 is 626480.
Thus, GCF of Fractions is 1/626480.Finally, GCF of Fractions for 1067/955, 1951/3280 is 1/626480.