GCF of 370/821, 780/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/821, 780/615 i.e 10/504915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/821, 780/615.
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 370/821,780/615?
Given fractions are 370/821,780/615
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 370/821,780/615, numerators are 370,780
Denominators are 821,615
The GCF of 370,780 is 10 .
LCM of 821,615 is 504915.
The greatest common factor of 370/821,780/615 = [GCF of 370,780]/[LCM of 821,615]= 10/504915
Therefore, the GCF of 370/821,780/615 is 10/504915.
To find the highest common factor of 370,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 370,780 is 10.
Lets's calculate GCF of 370,780
| 2 | 370, 780 |
| 5 | 185, 390 |
| 37, 78 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 370,780 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 370,780 . The biggest common factor number is the GCF number.
So the greatest common factor 370,780 is 10.
Lets's calculate LCM of 821,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 504915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/504915
Therefore, the GCF of Fractions 370/821,780/615 is 10/504915
Least Common Multiple of 821,615 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 821,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,615) x common factors =1 x 1 = 1
LCM(821,615) = ( 821 × 615 ) / 1
LCM(821,615) = 504915 / 1
LCM(821,615) = 504915
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FAQs on GCF of Fractions of 370/821, 780/615
1. What is the HCF of 370,780?
The HCF of 370,780 is 10
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 370/821, 780/615?
Answer: GCF of Numerators as per given numbers 370/821, 780/615 is
GCF of Numerators i.e. for 370,780 is 10
LCM of denominators i.e. for 821,615 is 504915.
Thus, GCF of Fractions is 10/504915.Finally, GCF of Fractions for 370/821, 780/615 is 10/504915.