GCF of 994/774, 562/983, 657/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/774, 562/983, 657/942 i.e 1/119452194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/774, 562/983, 657/942.
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 994/774,562/983,657/942?
Given fractions are 994/774,562/983,657/942
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 994/774,562/983,657/942, numerators are 994,562,657
Denominators are 774,983,942
The GCF of 994,562,657 is 1 .
LCM of 774,983,942 is 119452194.
The greatest common factor of 994/774,562/983,657/942 = [GCF of 994,562,657]/[LCM of 774,983,942]= 1/119452194
Therefore, the GCF of 994/774,562/983,657/942 is 1/119452194.
To find the highest common factor of 994,562,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 562 are 1, 2, 281, 562
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 994,562,657 is 1.
Lets's calculate GCF of 994,562,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 994,562,657 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 994,562,657 . The biggest common factor number is the GCF number.
So the greatest common factor 994,562,657 is 1.
Lets's calculate LCM of 774,983,942
| 2 | 774, 983, 942 |
| 3 | 387, 983, 471 |
| 129, 983, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 983 x 157 = 119452194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119452194
Therefore, the GCF of Fractions 994/774,562/983,657/942 is 1/119452194
Least Common Multiple of 774,983,942 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 774,983,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,983,942) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(774,983,942) x common factors =1 x 6 = 6
LCM(774,983,942) = ( 774 × 983 × 942 ) / 6
LCM(774,983,942) = 716713164 / 6
LCM(774,983,942) = 119452194
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 994/774, 562/983, 657/942
1. What is the HCF of 994,562,657?
The HCF of 994,562,657 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 994/774, 562/983, 657/942?
Answer: GCF of Numerators as per given numbers 994/774, 562/983, 657/942 is
GCF of Numerators i.e. for 994,562,657 is 1
LCM of denominators i.e. for 774,983,942 is 119452194.
Thus, GCF of Fractions is 1/119452194.Finally, GCF of Fractions for 994/774, 562/983, 657/942 is 1/119452194.