Highest Common Factor of 4655, 5215 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 4655, 5215 i.e. 35 the largest integer that leaves a remainder zero for all numbers.
HCF of 4655, 5215 is 35 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 4655, 5215 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 4655, 5215 is 35.
HCF(4655, 5215) = 35
HCF of 4655, 5215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4655, 5215 is 35.
Highest Common Factor of 4655,5215 is 35
Step 1: Since 5215 > 4655, we apply the division lemma to 5215 and 4655, to get
5215 = 4655 x 1 + 560
Step 2: Since the reminder 4655 ≠ 0, we apply division lemma to 560 and 4655, to get
4655 = 560 x 8 + 175
Step 3: We consider the new divisor 560 and the new remainder 175, and apply the division lemma to get
560 = 175 x 3 + 35
We consider the new divisor 175 and the new remainder 35, and apply the division lemma to get
175 = 35 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 4655 and 5215 is 35
Notice that 35 = HCF(175,35) = HCF(560,175) = HCF(4655,560) = HCF(5215,4655) .
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Frequently Asked Questions on HCF of 4655, 5215 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 4655, 5215?
Answer: HCF of 4655, 5215 is 35 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4655, 5215 using Euclid's Algorithm?
Answer: For arbitrary numbers 4655, 5215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.