Highest Common Factor of 683, 374, 779, 231 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 683, 374, 779, 231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 374, 779, 231 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 683, 374, 779, 231 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 683, 374, 779, 231 is 1.
HCF(683, 374, 779, 231) = 1
HCF of 683, 374, 779, 231 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 683, 374, 779, 231 is 1.
Highest Common Factor of 683,374,779,231 is 1
Step 1: Since 683 > 374, we apply the division lemma to 683 and 374, to get
683 = 374 x 1 + 309
Step 2: Since the reminder 374 ≠ 0, we apply division lemma to 309 and 374, to get
374 = 309 x 1 + 65
Step 3: We consider the new divisor 309 and the new remainder 65, and apply the division lemma to get
309 = 65 x 4 + 49
We consider the new divisor 65 and the new remainder 49,and apply the division lemma to get
65 = 49 x 1 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 374 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(65,49) = HCF(309,65) = HCF(374,309) = HCF(683,374) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 779 > 1, we apply the division lemma to 779 and 1, to get
779 = 1 x 779 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 779 is 1
Notice that 1 = HCF(779,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 231 > 1, we apply the division lemma to 231 and 1, to get
231 = 1 x 231 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 231 is 1
Notice that 1 = HCF(231,1) .
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Frequently Asked Questions on HCF of 683, 374, 779, 231 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 683, 374, 779, 231?
Answer: HCF of 683, 374, 779, 231 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 374, 779, 231 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 374, 779, 231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.