GCF of 3770/386, 7102/7048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3770/386, 7102/7048 i.e 2/1360264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3770/386, 7102/7048.
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 3770/386,7102/7048?
Given fractions are 3770/386,7102/7048
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 3770/386,7102/7048, numerators are 3770,7102
Denominators are 386,7048
The GCF of 3770,7102 is 2 .
LCM of 386,7048 is 1360264.
The greatest common factor of 3770/386,7102/7048 = [GCF of 3770,7102]/[LCM of 386,7048]= 2/1360264
Therefore, the GCF of 3770/386,7102/7048 is 2/1360264.
To find the highest common factor of 3770,7102, we have to find the factors of both numbers and list the highest common factor.
The factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770
The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102
The HCF of 3770,7102 is 2.
Lets's calculate GCF of 3770,7102
| 2 | 3770, 7102 |
| 1885, 3551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3770,7102 By Matching Biggest Common Factor Method
Now, list down the factors of 3770
:1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770
Now, list down the factors of 7102
:1,2,53,67,106,134,3551,7102
Greatest Common Factor
We found the factors 3770,7102 . The biggest common factor number is the GCF number.
So the greatest common factor 3770,7102 is 2.
Lets's calculate LCM of 386,7048
| 2 | 386, 7048 |
| 193, 3524 |
∴ So the LCM of the given numbers is 2 x 193 x 3524 = 1360264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1360264
Therefore, the GCF of Fractions 3770/386,7102/7048 is 2/1360264
Least Common Multiple of 386,7048 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 386,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,7048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,7048) x common factors =2 x 1 = 2
LCM(386,7048) = ( 386 × 7048 ) / 2
LCM(386,7048) = 2720528 / 2
LCM(386,7048) = 1360264
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FAQs on GCF of Fractions of 3770/386, 7102/7048
1. What is the HCF of 3770,7102?
The HCF of 3770,7102 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 3770/386, 7102/7048?
Answer: GCF of Numerators as per given numbers 3770/386, 7102/7048 is
GCF of Numerators i.e. for 3770,7102 is 2
LCM of denominators i.e. for 386,7048 is 1360264.
Thus, GCF of Fractions is 2/1360264.Finally, GCF of Fractions for 3770/386, 7102/7048 is 2/1360264.