Highest Common Factor of 805, 370, 615 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 805, 370, 615 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 370, 615 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 805, 370, 615 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 805, 370, 615 is 5.
HCF(805, 370, 615) = 5
HCF of 805, 370, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 370, 615 is 5.
Highest Common Factor of 805,370,615 is 5
Step 1: Since 805 > 370, we apply the division lemma to 805 and 370, to get
805 = 370 x 2 + 65
Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 65 and 370, to get
370 = 65 x 5 + 45
Step 3: We consider the new divisor 65 and the new remainder 45, and apply the division lemma to get
65 = 45 x 1 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 805 and 370 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(65,45) = HCF(370,65) = HCF(805,370) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 5, we apply the division lemma to 615 and 5, to get
615 = 5 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 615 is 5
Notice that 5 = HCF(615,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 805, 370, 615 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 805, 370, 615?
Answer: HCF of 805, 370, 615 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 370, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 370, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.