GCF of 3046/746, 7738/1692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3046/746, 7738/1692 i.e 2/631116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3046/746, 7738/1692.
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 3046/746,7738/1692?
Given fractions are 3046/746,7738/1692
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 3046/746,7738/1692, numerators are 3046,7738
Denominators are 746,1692
The GCF of 3046,7738 is 2 .
LCM of 746,1692 is 631116.
The greatest common factor of 3046/746,7738/1692 = [GCF of 3046,7738]/[LCM of 746,1692]= 2/631116
Therefore, the GCF of 3046/746,7738/1692 is 2/631116.
To find the highest common factor of 3046,7738, we have to find the factors of both numbers and list the highest common factor.
The factors of 3046 are 1, 2, 1523, 3046
The factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738
The HCF of 3046,7738 is 2.
Lets's calculate GCF of 3046,7738
| 2 | 3046, 7738 |
| 1523, 3869 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3046,7738 By Matching Biggest Common Factor Method
Now, list down the factors of 3046
:1,2,1523,3046
Now, list down the factors of 7738
:1,2,53,73,106,146,3869,7738
Greatest Common Factor
We found the factors 3046,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 3046,7738 is 2.
Lets's calculate LCM of 746,1692
| 2 | 746, 1692 |
| 373, 846 |
∴ So the LCM of the given numbers is 2 x 373 x 846 = 631116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/631116
Therefore, the GCF of Fractions 3046/746,7738/1692 is 2/631116
Least Common Multiple of 746,1692 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 746,1692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,1692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,1692) x common factors =2 x 1 = 2
LCM(746,1692) = ( 746 × 1692 ) / 2
LCM(746,1692) = 1262232 / 2
LCM(746,1692) = 631116
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FAQs on GCF of Fractions of 3046/746, 7738/1692
1. What is the HCF of 3046,7738?
The HCF of 3046,7738 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 3046/746, 7738/1692?
Answer: GCF of Numerators as per given numbers 3046/746, 7738/1692 is
GCF of Numerators i.e. for 3046,7738 is 2
LCM of denominators i.e. for 746,1692 is 631116.
Thus, GCF of Fractions is 2/631116.Finally, GCF of Fractions for 3046/746, 7738/1692 is 2/631116.