Highest Common Factor of 796, 3514, 6196 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 796, 3514, 6196 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 796, 3514, 6196 is 2 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 796, 3514, 6196 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 796, 3514, 6196 is 2.
HCF(796, 3514, 6196) = 2
HCF of 796, 3514, 6196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 796, 3514, 6196 is 2.
Highest Common Factor of 796,3514,6196 is 2
Step 1: Since 3514 > 796, we apply the division lemma to 3514 and 796, to get
3514 = 796 x 4 + 330
Step 2: Since the reminder 796 ≠ 0, we apply division lemma to 330 and 796, to get
796 = 330 x 2 + 136
Step 3: We consider the new divisor 330 and the new remainder 136, and apply the division lemma to get
330 = 136 x 2 + 58
We consider the new divisor 136 and the new remainder 58,and apply the division lemma to get
136 = 58 x 2 + 20
We consider the new divisor 58 and the new remainder 20,and apply the division lemma to get
58 = 20 x 2 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 796 and 3514 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(58,20) = HCF(136,58) = HCF(330,136) = HCF(796,330) = HCF(3514,796) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6196 > 2, we apply the division lemma to 6196 and 2, to get
6196 = 2 x 3098 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 6196 is 2
Notice that 2 = HCF(6196,2) .
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Frequently Asked Questions on HCF of 796, 3514, 6196 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 796, 3514, 6196?
Answer: HCF of 796, 3514, 6196 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 796, 3514, 6196 using Euclid's Algorithm?
Answer: For arbitrary numbers 796, 3514, 6196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
