GCF of 6875/770, 9700/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6875/770, 9700/7946 i.e 25/3059210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6875/770, 9700/7946.
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 6875/770,9700/7946?
Given fractions are 6875/770,9700/7946
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 6875/770,9700/7946, numerators are 6875,9700
Denominators are 770,7946
The GCF of 6875,9700 is 25 .
LCM of 770,7946 is 3059210.
The greatest common factor of 6875/770,9700/7946 = [GCF of 6875,9700]/[LCM of 770,7946]= 25/3059210
Therefore, the GCF of 6875/770,9700/7946 is 25/3059210.
To find the highest common factor of 6875,9700, we have to find the factors of both numbers and list the highest common factor.
The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The HCF of 6875,9700 is 25.
Lets's calculate GCF of 6875,9700
| 5 | 6875, 9700 |
| 5 | 1375, 1940 |
| 275, 388 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6875,9700 By Matching Biggest Common Factor Method
Now, list down the factors of 6875
:1,5,11,25,55,125,275,625,1375,6875
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 6875,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,9700 is 25.
Lets's calculate LCM of 770,7946
| 2 | 770, 7946 |
| 385, 3973 |
∴ So the LCM of the given numbers is 2 x 385 x 3973 = 3059210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/3059210
Therefore, the GCF of Fractions 6875/770,9700/7946 is 25/3059210
Least Common Multiple of 770,7946 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 770,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7946) x common factors =2 x 1 = 2
LCM(770,7946) = ( 770 × 7946 ) / 2
LCM(770,7946) = 6118420 / 2
LCM(770,7946) = 3059210
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FAQs on GCF of Fractions of 6875/770, 9700/7946
1. What is the HCF of 6875,9700?
The HCF of 6875,9700 is 25
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 6875/770, 9700/7946?
Answer: GCF of Numerators as per given numbers 6875/770, 9700/7946 is
GCF of Numerators i.e. for 6875,9700 is 25
LCM of denominators i.e. for 770,7946 is 3059210.
Thus, GCF of Fractions is 25/3059210.Finally, GCF of Fractions for 6875/770, 9700/7946 is 25/3059210.