GCF of 7875/119, 9707/2519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7875/119, 9707/2519 i.e 1/299761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7875/119, 9707/2519.
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 7875/119,9707/2519?
Given fractions are 7875/119,9707/2519
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 7875/119,9707/2519, numerators are 7875,9707
Denominators are 119,2519
The GCF of 7875,9707 is 1 .
LCM of 119,2519 is 299761.
The greatest common factor of 7875/119,9707/2519 = [GCF of 7875,9707]/[LCM of 119,2519]= 1/299761
Therefore, the GCF of 7875/119,9707/2519 is 1/299761.
To find the highest common factor of 7875,9707, we have to find the factors of both numbers and list the highest common factor.
The factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875
The factors of 9707 are 1, 17, 571, 9707
The HCF of 7875,9707 is 1.
Lets's calculate GCF of 7875,9707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7875,9707 By Matching Biggest Common Factor Method
Now, list down the factors of 7875
:1,3,5,7,9,15,21,25,35,45,63,75,105,125,175,225,315,375,525,875,1125,1575,2625,7875
Now, list down the factors of 9707
:1,17,571,9707
Greatest Common Factor
We found the factors 7875,9707 . The biggest common factor number is the GCF number.
So the greatest common factor 7875,9707 is 1.
Lets's calculate LCM of 119,2519
Given numbers has no common factors except 1. So, there LCM is their product i.e 299761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299761
Therefore, the GCF of Fractions 7875/119,9707/2519 is 1/299761
Least Common Multiple of 119,2519 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 119,2519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,2519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,2519) x common factors =1 x 1 = 1
LCM(119,2519) = ( 119 × 2519 ) / 1
LCM(119,2519) = 299761 / 1
LCM(119,2519) = 299761
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FAQs on GCF of Fractions of 7875/119, 9707/2519
1. What is the HCF of 7875,9707?
The HCF of 7875,9707 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 7875/119, 9707/2519?
Answer: GCF of Numerators as per given numbers 7875/119, 9707/2519 is
GCF of Numerators i.e. for 7875,9707 is 1
LCM of denominators i.e. for 119,2519 is 299761.
Thus, GCF of Fractions is 1/299761.Finally, GCF of Fractions for 7875/119, 9707/2519 is 1/299761.