GCF of 76/65, 220/91, 155/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 76/65, 220/91, 155/988 i.e 1/34580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/65, 220/91, 155/988.
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 76/65,220/91,155/988?
Given fractions are 76/65,220/91,155/988
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 76/65,220/91,155/988, numerators are 76,220,155
Denominators are 65,91,988
The GCF of 76,220,155 is 1 .
LCM of 65,91,988 is 34580.
The greatest common factor of 76/65,220/91,155/988 = [GCF of 76,220,155]/[LCM of 65,91,988]= 1/34580
Therefore, the GCF of 76/65,220/91,155/988 is 1/34580.
To find the highest common factor of 76,220,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 155 are 1, 5, 31, 155
The HCF of 76,220,155 is 1.
Lets's calculate GCF of 76,220,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 76,220,155 By Matching Biggest Common Factor Method
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 76,220,155 . The biggest common factor number is the GCF number.
So the greatest common factor 76,220,155 is 1.
Lets's calculate LCM of 65,91,988
| 13 | 65, 91, 988 |
| 5, 7, 76 |
∴ So the LCM of the given numbers is 13 x 5 x 7 x 76 = 34580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34580
Therefore, the GCF of Fractions 76/65,220/91,155/988 is 1/34580
Least Common Multiple of 65,91,988 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 65,91,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,91,988) = 13
common factors(in case of two or more numbers have common factors) = 13
GCF(65,91,988) x common factors =13 x 13 = 169
LCM(65,91,988) = ( 65 × 91 × 988 ) / 169
LCM(65,91,988) = 5844020 / 169
LCM(65,91,988) = 34580
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FAQs on GCF of Fractions of 76/65, 220/91, 155/988
1. What is the HCF of 76,220,155?
The HCF of 76,220,155 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 76/65, 220/91, 155/988?
Answer: GCF of Numerators as per given numbers 76/65, 220/91, 155/988 is
GCF of Numerators i.e. for 76,220,155 is 1
LCM of denominators i.e. for 65,91,988 is 34580.
Thus, GCF of Fractions is 1/34580.Finally, GCF of Fractions for 76/65, 220/91, 155/988 is 1/34580.