GCF of 35/67, 632/39, 117/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/67, 632/39, 117/732 i.e 1/637572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/67, 632/39, 117/732.
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 35/67,632/39,117/732?
Given fractions are 35/67,632/39,117/732
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 35/67,632/39,117/732, numerators are 35,632,117
Denominators are 67,39,732
The GCF of 35,632,117 is 1 .
LCM of 67,39,732 is 637572.
The greatest common factor of 35/67,632/39,117/732 = [GCF of 35,632,117]/[LCM of 67,39,732]= 1/637572
Therefore, the GCF of 35/67,632/39,117/732 is 1/637572.
To find the highest common factor of 35,632,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 35,632,117 is 1.
Lets's calculate GCF of 35,632,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,632,117 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 35,632,117 . The biggest common factor number is the GCF number.
So the greatest common factor 35,632,117 is 1.
Lets's calculate LCM of 67,39,732
| 3 | 67, 39, 732 |
| 67, 13, 244 |
∴ So the LCM of the given numbers is 3 x 67 x 13 x 244 = 637572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637572
Therefore, the GCF of Fractions 35/67,632/39,117/732 is 1/637572
Least Common Multiple of 67,39,732 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 67,39,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,39,732) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(67,39,732) x common factors =1 x 3 = 3
LCM(67,39,732) = ( 67 × 39 × 732 ) / 3
LCM(67,39,732) = 1912716 / 3
LCM(67,39,732) = 637572
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FAQs on GCF of Fractions of 35/67, 632/39, 117/732
1. What is the HCF of 35,632,117?
The HCF of 35,632,117 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 35/67, 632/39, 117/732?
Answer: GCF of Numerators as per given numbers 35/67, 632/39, 117/732 is
GCF of Numerators i.e. for 35,632,117 is 1
LCM of denominators i.e. for 67,39,732 is 637572.
Thus, GCF of Fractions is 1/637572.Finally, GCF of Fractions for 35/67, 632/39, 117/732 is 1/637572.