GCF of 76/434, 632/756, 521/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 76/434, 632/756, 521/871 i.e 1/20412756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/434, 632/756, 521/871.
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 76/434,632/756,521/871?
Given fractions are 76/434,632/756,521/871
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 76/434,632/756,521/871, numerators are 76,632,521
Denominators are 434,756,871
The GCF of 76,632,521 is 1 .
LCM of 434,756,871 is 20412756.
The greatest common factor of 76/434,632/756,521/871 = [GCF of 76,632,521]/[LCM of 434,756,871]= 1/20412756
Therefore, the GCF of 76/434,632/756,521/871 is 1/20412756.
To find the highest common factor of 76,632,521, 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 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 521 are 1, 521
The HCF of 76,632,521 is 1.
Lets's calculate GCF of 76,632,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 76,632,521 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 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 76,632,521 . The biggest common factor number is the GCF number.
So the greatest common factor 76,632,521 is 1.
Lets's calculate LCM of 434,756,871
| 2 | 434, 756, 871 |
| 7 | 217, 378, 871 |
| 31, 54, 871 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 54 x 871 = 20412756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20412756
Therefore, the GCF of Fractions 76/434,632/756,521/871 is 1/20412756
Least Common Multiple of 434,756,871 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 434,756,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,756,871) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(434,756,871) x common factors =1 x 14 = 14
LCM(434,756,871) = ( 434 × 756 × 871 ) / 14
LCM(434,756,871) = 285778584 / 14
LCM(434,756,871) = 20412756
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FAQs on GCF of Fractions of 76/434, 632/756, 521/871
1. What is the HCF of 76,632,521?
The HCF of 76,632,521 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 76/434, 632/756, 521/871?
Answer: GCF of Numerators as per given numbers 76/434, 632/756, 521/871 is
GCF of Numerators i.e. for 76,632,521 is 1
LCM of denominators i.e. for 434,756,871 is 20412756.
Thus, GCF of Fractions is 1/20412756.Finally, GCF of Fractions for 76/434, 632/756, 521/871 is 1/20412756.