Highest Common Factor of 5510, 4265 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 5510, 4265 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5510, 4265 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 5510, 4265 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 5510, 4265 is 5.
HCF(5510, 4265) = 5
HCF of 5510, 4265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5510, 4265 is 5.
Highest Common Factor of 5510,4265 is 5
Step 1: Since 5510 > 4265, we apply the division lemma to 5510 and 4265, to get
5510 = 4265 x 1 + 1245
Step 2: Since the reminder 4265 ≠ 0, we apply division lemma to 1245 and 4265, to get
4265 = 1245 x 3 + 530
Step 3: We consider the new divisor 1245 and the new remainder 530, and apply the division lemma to get
1245 = 530 x 2 + 185
We consider the new divisor 530 and the new remainder 185,and apply the division lemma to get
530 = 185 x 2 + 160
We consider the new divisor 185 and the new remainder 160,and apply the division lemma to get
185 = 160 x 1 + 25
We consider the new divisor 160 and the new remainder 25,and apply the division lemma to get
160 = 25 x 6 + 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 5510 and 4265 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(160,25) = HCF(185,160) = HCF(530,185) = HCF(1245,530) = HCF(4265,1245) = HCF(5510,4265) .
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Frequently Asked Questions on HCF of 5510, 4265 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 5510, 4265?
Answer: HCF of 5510, 4265 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5510, 4265 using Euclid's Algorithm?
Answer: For arbitrary numbers 5510, 4265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.