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 952, 204, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 952, 204, 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 952, 204, 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 952, 204, 615 is 1.
HCF(952, 204, 615) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 952, 204, 615 is 1.
Step 1: Since 952 > 204, we apply the division lemma to 952 and 204, to get
952 = 204 x 4 + 136
Step 2: Since the reminder 204 ≠ 0, we apply division lemma to 136 and 204, to get
204 = 136 x 1 + 68
Step 3: We consider the new divisor 136 and the new remainder 68, and apply the division lemma to get
136 = 68 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 952 and 204 is 68
Notice that 68 = HCF(136,68) = HCF(204,136) = HCF(952,204) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 68, we apply the division lemma to 615 and 68, to get
615 = 68 x 9 + 3
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 3 and 68, to get
68 = 3 x 22 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 68 and 615 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(68,3) = HCF(615,68) .
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 952, 204, 615?
Answer: HCF of 952, 204, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 952, 204, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 952, 204, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.