GCF of 3760/840, 2812/7707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3760/840, 2812/7707 i.e 4/308280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3760/840, 2812/7707.
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 3760/840,2812/7707?
Given fractions are 3760/840,2812/7707
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 3760/840,2812/7707, numerators are 3760,2812
Denominators are 840,7707
The GCF of 3760,2812 is 4 .
LCM of 840,7707 is 308280.
The greatest common factor of 3760/840,2812/7707 = [GCF of 3760,2812]/[LCM of 840,7707]= 4/308280
Therefore, the GCF of 3760/840,2812/7707 is 4/308280.
To find the highest common factor of 3760,2812, we have to find the factors of both numbers and list the highest common factor.
The factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The HCF of 3760,2812 is 4.
Lets's calculate GCF of 3760,2812
| 2 | 3760, 2812 |
| 2 | 1880, 1406 |
| 940, 703 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3760,2812 By Matching Biggest Common Factor Method
Now, list down the factors of 3760
:1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Greatest Common Factor
We found the factors 3760,2812 . The biggest common factor number is the GCF number.
So the greatest common factor 3760,2812 is 4.
Lets's calculate LCM of 840,7707
| 3 | 840, 7707 |
| 7 | 280, 2569 |
| 40, 367 |
∴ So the LCM of the given numbers is 3 x 7 x 40 x 367 = 308280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/308280
Therefore, the GCF of Fractions 3760/840,2812/7707 is 4/308280
Least Common Multiple of 840,7707 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 840,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,7707) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(840,7707) x common factors =21 x 1 = 21
LCM(840,7707) = ( 840 × 7707 ) / 21
LCM(840,7707) = 6473880 / 21
LCM(840,7707) = 308280
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FAQs on GCF of Fractions of 3760/840, 2812/7707
1. What is the HCF of 3760,2812?
The HCF of 3760,2812 is 4
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 3760/840, 2812/7707?
Answer: GCF of Numerators as per given numbers 3760/840, 2812/7707 is
GCF of Numerators i.e. for 3760,2812 is 4
LCM of denominators i.e. for 840,7707 is 308280.
Thus, GCF of Fractions is 4/308280.Finally, GCF of Fractions for 3760/840, 2812/7707 is 4/308280.