Highest Common Factor of 4653, 5205 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 4653, 5205 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4653, 5205 is 3 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 4653, 5205 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 4653, 5205 is 3.
HCF(4653, 5205) = 3
HCF of 4653, 5205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4653, 5205 is 3.
Highest Common Factor of 4653,5205 is 3
Step 1: Since 5205 > 4653, we apply the division lemma to 5205 and 4653, to get
5205 = 4653 x 1 + 552
Step 2: Since the reminder 4653 ≠ 0, we apply division lemma to 552 and 4653, to get
4653 = 552 x 8 + 237
Step 3: We consider the new divisor 552 and the new remainder 237, and apply the division lemma to get
552 = 237 x 2 + 78
We consider the new divisor 237 and the new remainder 78,and apply the division lemma to get
237 = 78 x 3 + 3
We consider the new divisor 78 and the new remainder 3,and apply the division lemma to get
78 = 3 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4653 and 5205 is 3
Notice that 3 = HCF(78,3) = HCF(237,78) = HCF(552,237) = HCF(4653,552) = HCF(5205,4653) .
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Frequently Asked Questions on HCF of 4653, 5205 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 4653, 5205?
Answer: HCF of 4653, 5205 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4653, 5205 using Euclid's Algorithm?
Answer: For arbitrary numbers 4653, 5205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.