Highest Common Factor of 1650, 4904 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, 4904 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1650, 4904 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, 4904 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, 4904 is 2.
HCF(1650, 4904) = 2
HCF of 1650, 4904 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, 4904 is 2.
Highest Common Factor of 1650,4904 is 2
Step 1: Since 4904 > 1650, we apply the division lemma to 4904 and 1650, to get
4904 = 1650 x 2 + 1604
Step 2: Since the reminder 1650 ≠ 0, we apply division lemma to 1604 and 1650, to get
1650 = 1604 x 1 + 46
Step 3: We consider the new divisor 1604 and the new remainder 46, and apply the division lemma to get
1604 = 46 x 34 + 40
We consider the new divisor 46 and the new remainder 40,and apply the division lemma to get
46 = 40 x 1 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 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 4904 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(46,40) = HCF(1604,46) = HCF(1650,1604) = HCF(4904,1650) .
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Frequently Asked Questions on HCF of 1650, 4904 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, 4904?
Answer: HCF of 1650, 4904 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1650, 4904 using Euclid's Algorithm?
Answer: For arbitrary numbers 1650, 4904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.