GCF of 8978/750, 9445/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8978/750, 9445/696 i.e 1/87000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8978/750, 9445/696.
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 8978/750,9445/696?
Given fractions are 8978/750,9445/696
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 8978/750,9445/696, numerators are 8978,9445
Denominators are 750,696
The GCF of 8978,9445 is 1 .
LCM of 750,696 is 87000.
The greatest common factor of 8978/750,9445/696 = [GCF of 8978,9445]/[LCM of 750,696]= 1/87000
Therefore, the GCF of 8978/750,9445/696 is 1/87000.
To find the highest common factor of 8978,9445, we have to find the factors of both numbers and list the highest common factor.
The factors of 8978 are 1, 2, 67, 134, 4489, 8978
The factors of 9445 are 1, 5, 1889, 9445
The HCF of 8978,9445 is 1.
Lets's calculate GCF of 8978,9445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8978,9445 By Matching Biggest Common Factor Method
Now, list down the factors of 8978
:1,2,67,134,4489,8978
Now, list down the factors of 9445
:1,5,1889,9445
Greatest Common Factor
We found the factors 8978,9445 . The biggest common factor number is the GCF number.
So the greatest common factor 8978,9445 is 1.
Lets's calculate LCM of 750,696
| 2 | 750, 696 |
| 3 | 375, 348 |
| 125, 116 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 116 = 87000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87000
Therefore, the GCF of Fractions 8978/750,9445/696 is 1/87000
Least Common Multiple of 750,696 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 750,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,696) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,696) x common factors =6 x 1 = 6
LCM(750,696) = ( 750 × 696 ) / 6
LCM(750,696) = 522000 / 6
LCM(750,696) = 87000
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FAQs on GCF of Fractions of 8978/750, 9445/696
1. What is the HCF of 8978,9445?
The HCF of 8978,9445 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 8978/750, 9445/696?
Answer: GCF of Numerators as per given numbers 8978/750, 9445/696 is
GCF of Numerators i.e. for 8978,9445 is 1
LCM of denominators i.e. for 750,696 is 87000.
Thus, GCF of Fractions is 1/87000.Finally, GCF of Fractions for 8978/750, 9445/696 is 1/87000.