GCF of 35/245, 92/504, 977/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/245, 92/504, 977/695 i.e 1/2451960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/245, 92/504, 977/695.
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 35/245,92/504,977/695?
Given fractions are 35/245,92/504,977/695
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 35/245,92/504,977/695, numerators are 35,92,977
Denominators are 245,504,695
The GCF of 35,92,977 is 1 .
LCM of 245,504,695 is 2451960.
The greatest common factor of 35/245,92/504,977/695 = [GCF of 35,92,977]/[LCM of 245,504,695]= 1/2451960
Therefore, the GCF of 35/245,92/504,977/695 is 1/2451960.
To find the highest common factor of 35,92,977, 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 92 are 1, 2, 4, 23, 46, 92
The factors of 977 are 1, 977
The HCF of 35,92,977 is 1.
Lets's calculate GCF of 35,92,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,92,977 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 35,92,977 . The biggest common factor number is the GCF number.
So the greatest common factor 35,92,977 is 1.
Lets's calculate LCM of 245,504,695
| 5 | 245, 504, 695 |
| 7 | 49, 504, 139 |
| 7, 72, 139 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 72 x 139 = 2451960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2451960
Therefore, the GCF of Fractions 35/245,92/504,977/695 is 1/2451960
Least Common Multiple of 245,504,695 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 245,504,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,504,695) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(245,504,695) x common factors =1 x 35 = 35
LCM(245,504,695) = ( 245 × 504 × 695 ) / 35
LCM(245,504,695) = 85818600 / 35
LCM(245,504,695) = 2451960
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FAQs on GCF of Fractions of 35/245, 92/504, 977/695
1. What is the HCF of 35,92,977?
The HCF of 35,92,977 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 35/245, 92/504, 977/695?
Answer: GCF of Numerators as per given numbers 35/245, 92/504, 977/695 is
GCF of Numerators i.e. for 35,92,977 is 1
LCM of denominators i.e. for 245,504,695 is 2451960.
Thus, GCF of Fractions is 1/2451960.Finally, GCF of Fractions for 35/245, 92/504, 977/695 is 1/2451960.