GCF of 919/82, 688/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 919/82, 688/804 i.e 1/32964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/82, 688/804.
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 919/82,688/804?
Given fractions are 919/82,688/804
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 919/82,688/804, numerators are 919,688
Denominators are 82,804
The GCF of 919,688 is 1 .
LCM of 82,804 is 32964.
The greatest common factor of 919/82,688/804 = [GCF of 919,688]/[LCM of 82,804]= 1/32964
Therefore, the GCF of 919/82,688/804 is 1/32964.
To find the highest common factor of 919,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 919,688 is 1.
Lets's calculate GCF of 919,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 919,688 By Matching Biggest Common Factor Method
Now, list down the factors of 919
:1,919
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 919,688 . The biggest common factor number is the GCF number.
So the greatest common factor 919,688 is 1.
Lets's calculate LCM of 82,804
| 2 | 82, 804 |
| 41, 402 |
∴ So the LCM of the given numbers is 2 x 41 x 402 = 32964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32964
Therefore, the GCF of Fractions 919/82,688/804 is 1/32964
Least Common Multiple of 82,804 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 82,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,804) x common factors =2 x 1 = 2
LCM(82,804) = ( 82 × 804 ) / 2
LCM(82,804) = 65928 / 2
LCM(82,804) = 32964
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FAQs on GCF of Fractions of 919/82, 688/804
1. What is the HCF of 919,688?
The HCF of 919,688 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 919/82, 688/804?
Answer: GCF of Numerators as per given numbers 919/82, 688/804 is
GCF of Numerators i.e. for 919,688 is 1
LCM of denominators i.e. for 82,804 is 32964.
Thus, GCF of Fractions is 1/32964.Finally, GCF of Fractions for 919/82, 688/804 is 1/32964.