GCF of 77/87, 114/87, 762/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 77/87, 114/87, 762/450 i.e 1/13050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/87, 114/87, 762/450.
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 77/87,114/87,762/450?
Given fractions are 77/87,114/87,762/450
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 77/87,114/87,762/450, numerators are 77,114,762
Denominators are 87,87,450
The GCF of 77,114,762 is 1 .
LCM of 87,87,450 is 13050.
The greatest common factor of 77/87,114/87,762/450 = [GCF of 77,114,762]/[LCM of 87,87,450]= 1/13050
Therefore, the GCF of 77/87,114/87,762/450 is 1/13050.
To find the highest common factor of 77,114,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 77,114,762 is 1.
Lets's calculate GCF of 77,114,762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 77,114,762 By Matching Biggest Common Factor Method
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 77,114,762 . The biggest common factor number is the GCF number.
So the greatest common factor 77,114,762 is 1.
Lets's calculate LCM of 87,87,450
| 3 | 87, 87, 450 |
| 29 | 29, 29, 150 |
| 1, 1, 150 |
∴ So the LCM of the given numbers is 3 x 29 x 1 x 1 x 150 = 13050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13050
Therefore, the GCF of Fractions 77/87,114/87,762/450 is 1/13050
Least Common Multiple of 87,87,450 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 87,87,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,87,450) = 3
common factors(in case of two or more numbers have common factors) = 87
GCF(87,87,450) x common factors =3 x 87 = 261
LCM(87,87,450) = ( 87 × 87 × 450 ) / 261
LCM(87,87,450) = 3406050 / 261
LCM(87,87,450) = 13050
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FAQs on GCF of Fractions of 77/87, 114/87, 762/450
1. What is the HCF of 77,114,762?
The HCF of 77,114,762 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 77/87, 114/87, 762/450?
Answer: GCF of Numerators as per given numbers 77/87, 114/87, 762/450 is
GCF of Numerators i.e. for 77,114,762 is 1
LCM of denominators i.e. for 87,87,450 is 13050.
Thus, GCF of Fractions is 1/13050.Finally, GCF of Fractions for 77/87, 114/87, 762/450 is 1/13050.