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 536, 750, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 750, 615 is 1 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 536, 750, 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 536, 750, 615 is 1.
HCF(536, 750, 615) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 750, 615 is 1.
Step 1: Since 750 > 536, we apply the division lemma to 750 and 536, to get
750 = 536 x 1 + 214
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 214 and 536, to get
536 = 214 x 2 + 108
Step 3: We consider the new divisor 214 and the new remainder 108, and apply the division lemma to get
214 = 108 x 1 + 106
We consider the new divisor 108 and the new remainder 106,and apply the division lemma to get
108 = 106 x 1 + 2
We consider the new divisor 106 and the new remainder 2,and apply the division lemma to get
106 = 2 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 536 and 750 is 2
Notice that 2 = HCF(106,2) = HCF(108,106) = HCF(214,108) = HCF(536,214) = HCF(750,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 2, we apply the division lemma to 615 and 2, to get
615 = 2 x 307 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 615 is 1
Notice that 1 = HCF(2,1) = HCF(615,2) .
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 536, 750, 615?
Answer: HCF of 536, 750, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 750, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 750, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.