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, 597, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 597, 667 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 968, 597, 667 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, 597, 667 is 1.
HCF(968, 597, 667) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 597, 667 is 1.
Step 1: Since 968 > 597, we apply the division lemma to 968 and 597, to get
968 = 597 x 1 + 371
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 371 and 597, to get
597 = 371 x 1 + 226
Step 3: We consider the new divisor 371 and the new remainder 226, and apply the division lemma to get
371 = 226 x 1 + 145
We consider the new divisor 226 and the new remainder 145,and apply the division lemma to get
226 = 145 x 1 + 81
We consider the new divisor 145 and the new remainder 81,and apply the division lemma to get
145 = 81 x 1 + 64
We consider the new divisor 81 and the new remainder 64,and apply the division lemma to get
81 = 64 x 1 + 17
We consider the new divisor 64 and the new remainder 17,and apply the division lemma to get
64 = 17 x 3 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 968 and 597 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(64,17) = HCF(81,64) = HCF(145,81) = HCF(226,145) = HCF(371,226) = HCF(597,371) = HCF(968,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 667 > 1, we apply the division lemma to 667 and 1, to get
667 = 1 x 667 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 667 is 1
Notice that 1 = HCF(667,1) .
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, 597, 667?
Answer: HCF of 968, 597, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 597, 667 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 597, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.