Highest Common Factor of 4825, 2033 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 4825, 2033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4825, 2033 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 4825, 2033 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 4825, 2033 is 1.
HCF(4825, 2033) = 1
HCF of 4825, 2033 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4825, 2033 is 1.
Highest Common Factor of 4825,2033 is 1
Step 1: Since 4825 > 2033, we apply the division lemma to 4825 and 2033, to get
4825 = 2033 x 2 + 759
Step 2: Since the reminder 2033 ≠ 0, we apply division lemma to 759 and 2033, to get
2033 = 759 x 2 + 515
Step 3: We consider the new divisor 759 and the new remainder 515, and apply the division lemma to get
759 = 515 x 1 + 244
We consider the new divisor 515 and the new remainder 244,and apply the division lemma to get
515 = 244 x 2 + 27
We consider the new divisor 244 and the new remainder 27,and apply the division lemma to get
244 = 27 x 9 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4825 and 2033 is 1
Notice that 1 = HCF(27,1) = HCF(244,27) = HCF(515,244) = HCF(759,515) = HCF(2033,759) = HCF(4825,2033) .
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Frequently Asked Questions on HCF of 4825, 2033 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 4825, 2033?
Answer: HCF of 4825, 2033 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4825, 2033 using Euclid's Algorithm?
Answer: For arbitrary numbers 4825, 2033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
