Highest Common Factor of 296, 698, 789, 657 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 296, 698, 789, 657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 296, 698, 789, 657 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 296, 698, 789, 657 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 296, 698, 789, 657 is 1.
HCF(296, 698, 789, 657) = 1
HCF of 296, 698, 789, 657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 296, 698, 789, 657 is 1.
Highest Common Factor of 296,698,789,657 is 1
Step 1: Since 698 > 296, we apply the division lemma to 698 and 296, to get
698 = 296 x 2 + 106
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 106 and 296, to get
296 = 106 x 2 + 84
Step 3: We consider the new divisor 106 and the new remainder 84, and apply the division lemma to get
106 = 84 x 1 + 22
We consider the new divisor 84 and the new remainder 22,and apply the division lemma to get
84 = 22 x 3 + 18
We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get
22 = 18 x 1 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 296 and 698 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(84,22) = HCF(106,84) = HCF(296,106) = HCF(698,296) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 789 > 2, we apply the division lemma to 789 and 2, to get
789 = 2 x 394 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 789 is 1
Notice that 1 = HCF(2,1) = HCF(789,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 657 > 1, we apply the division lemma to 657 and 1, to get
657 = 1 x 657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 657 is 1
Notice that 1 = HCF(657,1) .
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Frequently Asked Questions on HCF of 296, 698, 789, 657 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 296, 698, 789, 657?
Answer: HCF of 296, 698, 789, 657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 296, 698, 789, 657 using Euclid's Algorithm?
Answer: For arbitrary numbers 296, 698, 789, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.