GCF of 974/211, 762/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/211, 762/689 i.e 2/145379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/211, 762/689.
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 974/211,762/689?
Given fractions are 974/211,762/689
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 974/211,762/689, numerators are 974,762
Denominators are 211,689
The GCF of 974,762 is 2 .
LCM of 211,689 is 145379.
The greatest common factor of 974/211,762/689 = [GCF of 974,762]/[LCM of 211,689]= 2/145379
Therefore, the GCF of 974/211,762/689 is 2/145379.
To find the highest common factor of 974,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 974,762 is 2.
Lets's calculate GCF of 974,762
| 2 | 974, 762 |
| 487, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 974,762 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 974,762 . The biggest common factor number is the GCF number.
So the greatest common factor 974,762 is 2.
Lets's calculate LCM of 211,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 145379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145379
Therefore, the GCF of Fractions 974/211,762/689 is 2/145379
Least Common Multiple of 211,689 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 211,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,689) x common factors =1 x 1 = 1
LCM(211,689) = ( 211 × 689 ) / 1
LCM(211,689) = 145379 / 1
LCM(211,689) = 145379
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FAQs on GCF of Fractions of 974/211, 762/689
1. What is the HCF of 974,762?
The HCF of 974,762 is 2
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 974/211, 762/689?
Answer: GCF of Numerators as per given numbers 974/211, 762/689 is
GCF of Numerators i.e. for 974,762 is 2
LCM of denominators i.e. for 211,689 is 145379.
Thus, GCF of Fractions is 2/145379.Finally, GCF of Fractions for 974/211, 762/689 is 2/145379.