Highest Common Factor of 968, 609, 814, 143 using Euclid's algorithm
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, 609, 814, 143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 609, 814, 143 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, 609, 814, 143 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, 609, 814, 143 is 1.
HCF(968, 609, 814, 143) = 1
HCF of 968, 609, 814, 143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 609, 814, 143 is 1.
Highest Common Factor of 968,609,814,143 is 1
Step 1: Since 968 > 609, we apply the division lemma to 968 and 609, to get
968 = 609 x 1 + 359
Step 2: Since the reminder 609 ≠ 0, we apply division lemma to 359 and 609, to get
609 = 359 x 1 + 250
Step 3: We consider the new divisor 359 and the new remainder 250, and apply the division lemma to get
359 = 250 x 1 + 109
We consider the new divisor 250 and the new remainder 109,and apply the division lemma to get
250 = 109 x 2 + 32
We consider the new divisor 109 and the new remainder 32,and apply the division lemma to get
109 = 32 x 3 + 13
We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get
32 = 13 x 2 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 968 and 609 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(109,32) = HCF(250,109) = HCF(359,250) = HCF(609,359) = HCF(968,609) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 814 > 1, we apply the division lemma to 814 and 1, to get
814 = 1 x 814 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 814 is 1
Notice that 1 = HCF(814,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 143 > 1, we apply the division lemma to 143 and 1, to get
143 = 1 x 143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 143 is 1
Notice that 1 = HCF(143,1) .
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Frequently Asked Questions on HCF of 968, 609, 814, 143 using Euclid's Algorithm
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, 609, 814, 143?
Answer: HCF of 968, 609, 814, 143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 609, 814, 143 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 609, 814, 143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.