GCF of 884/69, 691/93, 653/70
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/69, 691/93, 653/70 i.e 1/149730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/69, 691/93, 653/70.
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 884/69,691/93,653/70?
Given fractions are 884/69,691/93,653/70
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 884/69,691/93,653/70, numerators are 884,691,653
Denominators are 69,93,70
The GCF of 884,691,653 is 1 .
LCM of 69,93,70 is 149730.
The greatest common factor of 884/69,691/93,653/70 = [GCF of 884,691,653]/[LCM of 69,93,70]= 1/149730
Therefore, the GCF of 884/69,691/93,653/70 is 1/149730.
To find the highest common factor of 884,691,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 691 are 1, 691
The factors of 653 are 1, 653
The HCF of 884,691,653 is 1.
Lets's calculate GCF of 884,691,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 884,691,653 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 691
:1,691
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 884,691,653 . The biggest common factor number is the GCF number.
So the greatest common factor 884,691,653 is 1.
Lets's calculate LCM of 69,93,70
| 3 | 69, 93, 70 |
| 23, 31, 70 |
∴ So the LCM of the given numbers is 3 x 23 x 31 x 70 = 149730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149730
Therefore, the GCF of Fractions 884/69,691/93,653/70 is 1/149730
Least Common Multiple of 69,93,70 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 69,93,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,93,70) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,93,70) x common factors =1 x 3 = 3
LCM(69,93,70) = ( 69 × 93 × 70 ) / 3
LCM(69,93,70) = 449190 / 3
LCM(69,93,70) = 149730
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FAQs on GCF of Fractions of 884/69, 691/93, 653/70
1. What is the HCF of 884,691,653?
The HCF of 884,691,653 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 884/69, 691/93, 653/70?
Answer: GCF of Numerators as per given numbers 884/69, 691/93, 653/70 is
GCF of Numerators i.e. for 884,691,653 is 1
LCM of denominators i.e. for 69,93,70 is 149730.
Thus, GCF of Fractions is 1/149730.Finally, GCF of Fractions for 884/69, 691/93, 653/70 is 1/149730.