Highest Common Factor of 5110, 5575 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 5110, 5575 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5110, 5575 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 5110, 5575 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 5110, 5575 is 5.
HCF(5110, 5575) = 5
HCF of 5110, 5575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5110, 5575 is 5.
Highest Common Factor of 5110,5575 is 5
Step 1: Since 5575 > 5110, we apply the division lemma to 5575 and 5110, to get
5575 = 5110 x 1 + 465
Step 2: Since the reminder 5110 ≠ 0, we apply division lemma to 465 and 5110, to get
5110 = 465 x 10 + 460
Step 3: We consider the new divisor 465 and the new remainder 460, and apply the division lemma to get
465 = 460 x 1 + 5
We consider the new divisor 460 and the new remainder 5, and apply the division lemma to get
460 = 5 x 92 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5110 and 5575 is 5
Notice that 5 = HCF(460,5) = HCF(465,460) = HCF(5110,465) = HCF(5575,5110) .
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Frequently Asked Questions on HCF of 5110, 5575 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 5110, 5575?
Answer: HCF of 5110, 5575 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5110, 5575 using Euclid's Algorithm?
Answer: For arbitrary numbers 5110, 5575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.