GCF of 6985/764, 7870/9397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6985/764, 7870/9397 i.e 5/7179308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6985/764, 7870/9397.
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 6985/764,7870/9397?
Given fractions are 6985/764,7870/9397
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 6985/764,7870/9397, numerators are 6985,7870
Denominators are 764,9397
The GCF of 6985,7870 is 5 .
LCM of 764,9397 is 7179308.
The greatest common factor of 6985/764,7870/9397 = [GCF of 6985,7870]/[LCM of 764,9397]= 5/7179308
Therefore, the GCF of 6985/764,7870/9397 is 5/7179308.
To find the highest common factor of 6985,7870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
The HCF of 6985,7870 is 5.
Lets's calculate GCF of 6985,7870
| 5 | 6985, 7870 |
| 1397, 1574 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6985,7870 By Matching Biggest Common Factor Method
Now, list down the factors of 6985
:1,5,11,55,127,635,1397,6985
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
Greatest Common Factor
We found the factors 6985,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 6985,7870 is 5.
Lets's calculate LCM of 764,9397
Given numbers has no common factors except 1. So, there LCM is their product i.e 7179308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7179308
Therefore, the GCF of Fractions 6985/764,7870/9397 is 5/7179308
Least Common Multiple of 764,9397 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 764,9397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9397) x common factors =1 x 1 = 1
LCM(764,9397) = ( 764 × 9397 ) / 1
LCM(764,9397) = 7179308 / 1
LCM(764,9397) = 7179308
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FAQs on GCF of Fractions of 6985/764, 7870/9397
1. What is the HCF of 6985,7870?
The HCF of 6985,7870 is 5
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 6985/764, 7870/9397?
Answer: GCF of Numerators as per given numbers 6985/764, 7870/9397 is
GCF of Numerators i.e. for 6985,7870 is 5
LCM of denominators i.e. for 764,9397 is 7179308.
Thus, GCF of Fractions is 5/7179308.Finally, GCF of Fractions for 6985/764, 7870/9397 is 5/7179308.