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 615, 3040 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 3040 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 615, 3040 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 615, 3040 is 5.
HCF(615, 3040) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 3040 is 5.
Step 1: Since 3040 > 615, we apply the division lemma to 3040 and 615, to get
3040 = 615 x 4 + 580
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 580 and 615, to get
615 = 580 x 1 + 35
Step 3: We consider the new divisor 580 and the new remainder 35, and apply the division lemma to get
580 = 35 x 16 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 615 and 3040 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(580,35) = HCF(615,580) = HCF(3040,615) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 615, 3040?
Answer: HCF of 615, 3040 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 3040 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 3040 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.