Highest Common Factor of 4705, 6545 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 4705, 6545 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4705, 6545 is 5 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 4705, 6545 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 4705, 6545 is 5.
HCF(4705, 6545) = 5
HCF of 4705, 6545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4705, 6545 is 5.
Highest Common Factor of 4705,6545 is 5
Step 1: Since 6545 > 4705, we apply the division lemma to 6545 and 4705, to get
6545 = 4705 x 1 + 1840
Step 2: Since the reminder 4705 ≠ 0, we apply division lemma to 1840 and 4705, to get
4705 = 1840 x 2 + 1025
Step 3: We consider the new divisor 1840 and the new remainder 1025, and apply the division lemma to get
1840 = 1025 x 1 + 815
We consider the new divisor 1025 and the new remainder 815,and apply the division lemma to get
1025 = 815 x 1 + 210
We consider the new divisor 815 and the new remainder 210,and apply the division lemma to get
815 = 210 x 3 + 185
We consider the new divisor 210 and the new remainder 185,and apply the division lemma to get
210 = 185 x 1 + 25
We consider the new divisor 185 and the new remainder 25,and apply the division lemma to get
185 = 25 x 7 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4705 and 6545 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(185,25) = HCF(210,185) = HCF(815,210) = HCF(1025,815) = HCF(1840,1025) = HCF(4705,1840) = HCF(6545,4705) .
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Frequently Asked Questions on HCF of 4705, 6545 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 4705, 6545?
Answer: HCF of 4705, 6545 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4705, 6545 using Euclid's Algorithm?
Answer: For arbitrary numbers 4705, 6545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.