Highest Common Factor of 1650, 6434 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 1650, 6434 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1650, 6434 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 1650, 6434 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 1650, 6434 is 2.
HCF(1650, 6434) = 2
HCF of 1650, 6434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1650, 6434 is 2.
Highest Common Factor of 1650,6434 is 2
Step 1: Since 6434 > 1650, we apply the division lemma to 6434 and 1650, to get
6434 = 1650 x 3 + 1484
Step 2: Since the reminder 1650 ≠ 0, we apply division lemma to 1484 and 1650, to get
1650 = 1484 x 1 + 166
Step 3: We consider the new divisor 1484 and the new remainder 166, and apply the division lemma to get
1484 = 166 x 8 + 156
We consider the new divisor 166 and the new remainder 156,and apply the division lemma to get
166 = 156 x 1 + 10
We consider the new divisor 156 and the new remainder 10,and apply the division lemma to get
156 = 10 x 15 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 1650 and 6434 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(156,10) = HCF(166,156) = HCF(1484,166) = HCF(1650,1484) = HCF(6434,1650) .
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Frequently Asked Questions on HCF of 1650, 6434 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 1650, 6434?
Answer: HCF of 1650, 6434 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1650, 6434 using Euclid's Algorithm?
Answer: For arbitrary numbers 1650, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.