GCF of 196/88, 623/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 196/88, 623/973 i.e 7/85624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/88, 623/973.
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 196/88,623/973?
Given fractions are 196/88,623/973
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 196/88,623/973, numerators are 196,623
Denominators are 88,973
The GCF of 196,623 is 7 .
LCM of 88,973 is 85624.
The greatest common factor of 196/88,623/973 = [GCF of 196,623]/[LCM of 88,973]= 7/85624
Therefore, the GCF of 196/88,623/973 is 7/85624.
To find the highest common factor of 196,623, we have to find the factors of both numbers and list the highest common factor.
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The factors of 623 are 1, 7, 89, 623
The HCF of 196,623 is 7.
Lets's calculate GCF of 196,623
| 7 | 196, 623 |
| 28, 89 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 196,623 By Matching Biggest Common Factor Method
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Now, list down the factors of 623
:1,7,89,623
Greatest Common Factor
We found the factors 196,623 . The biggest common factor number is the GCF number.
So the greatest common factor 196,623 is 7.
Lets's calculate LCM of 88,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 85624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/85624
Therefore, the GCF of Fractions 196/88,623/973 is 7/85624
Least Common Multiple of 88,973 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 88,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,973) x common factors =1 x 1 = 1
LCM(88,973) = ( 88 × 973 ) / 1
LCM(88,973) = 85624 / 1
LCM(88,973) = 85624
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FAQs on GCF of Fractions of 196/88, 623/973
1. What is the HCF of 196,623?
The HCF of 196,623 is 7
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 196/88, 623/973?
Answer: GCF of Numerators as per given numbers 196/88, 623/973 is
GCF of Numerators i.e. for 196,623 is 7
LCM of denominators i.e. for 88,973 is 85624.
Thus, GCF of Fractions is 7/85624.Finally, GCF of Fractions for 196/88, 623/973 is 7/85624.