GCF of 7051/119, 2472/9625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7051/119, 2472/9625 i.e 1/163625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7051/119, 2472/9625.
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 7051/119,2472/9625?
Given fractions are 7051/119,2472/9625
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 7051/119,2472/9625, numerators are 7051,2472
Denominators are 119,9625
The GCF of 7051,2472 is 1 .
LCM of 119,9625 is 163625.
The greatest common factor of 7051/119,2472/9625 = [GCF of 7051,2472]/[LCM of 119,9625]= 1/163625
Therefore, the GCF of 7051/119,2472/9625 is 1/163625.
To find the highest common factor of 7051,2472, we have to find the factors of both numbers and list the highest common factor.
The factors of 7051 are 1, 11, 641, 7051
The factors of 2472 are 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472
The HCF of 7051,2472 is 1.
Lets's calculate GCF of 7051,2472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7051,2472 By Matching Biggest Common Factor Method
Now, list down the factors of 7051
:1,11,641,7051
Now, list down the factors of 2472
:1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472
Greatest Common Factor
We found the factors 7051,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 7051,2472 is 1.
Lets's calculate LCM of 119,9625
| 7 | 119, 9625 |
| 17, 1375 |
∴ So the LCM of the given numbers is 7 x 17 x 1375 = 163625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163625
Therefore, the GCF of Fractions 7051/119,2472/9625 is 1/163625
Least Common Multiple of 119,9625 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 119,9625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,9625) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,9625) x common factors =7 x 1 = 7
LCM(119,9625) = ( 119 × 9625 ) / 7
LCM(119,9625) = 1145375 / 7
LCM(119,9625) = 163625
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FAQs on GCF of Fractions of 7051/119, 2472/9625
1. What is the HCF of 7051,2472?
The HCF of 7051,2472 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 7051/119, 2472/9625?
Answer: GCF of Numerators as per given numbers 7051/119, 2472/9625 is
GCF of Numerators i.e. for 7051,2472 is 1
LCM of denominators i.e. for 119,9625 is 163625.
Thus, GCF of Fractions is 1/163625.Finally, GCF of Fractions for 7051/119, 2472/9625 is 1/163625.