Highest Common Factor of 650, 416, 696 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 650, 416, 696 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 650, 416, 696 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 650, 416, 696 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 650, 416, 696 is 2.
HCF(650, 416, 696) = 2
HCF of 650, 416, 696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 650, 416, 696 is 2.
Highest Common Factor of 650,416,696 is 2
Step 1: Since 650 > 416, we apply the division lemma to 650 and 416, to get
650 = 416 x 1 + 234
Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 234 and 416, to get
416 = 234 x 1 + 182
Step 3: We consider the new divisor 234 and the new remainder 182, and apply the division lemma to get
234 = 182 x 1 + 52
We consider the new divisor 182 and the new remainder 52,and apply the division lemma to get
182 = 52 x 3 + 26
We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 650 and 416 is 26
Notice that 26 = HCF(52,26) = HCF(182,52) = HCF(234,182) = HCF(416,234) = HCF(650,416) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 696 > 26, we apply the division lemma to 696 and 26, to get
696 = 26 x 26 + 20
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 20 and 26, to get
26 = 20 x 1 + 6
Step 3: We consider the new divisor 20 and the new remainder 6, and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 26 and 696 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(696,26) .
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Frequently Asked Questions on HCF of 650, 416, 696 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 650, 416, 696?
Answer: HCF of 650, 416, 696 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 650, 416, 696 using Euclid's Algorithm?
Answer: For arbitrary numbers 650, 416, 696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.