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 968, 636 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 636 is 4 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 968, 636 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 968, 636 is 4.
HCF(968, 636) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 636 is 4.
Step 1: Since 968 > 636, we apply the division lemma to 968 and 636, to get
968 = 636 x 1 + 332
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 332 and 636, to get
636 = 332 x 1 + 304
Step 3: We consider the new divisor 332 and the new remainder 304, and apply the division lemma to get
332 = 304 x 1 + 28
We consider the new divisor 304 and the new remainder 28,and apply the division lemma to get
304 = 28 x 10 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 968 and 636 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(304,28) = HCF(332,304) = HCF(636,332) = HCF(968,636) .
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 968, 636?
Answer: HCF of 968, 636 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 636 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.