Highest Common Factor of 1110, 5605 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 1110, 5605 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1110, 5605 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 1110, 5605 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 1110, 5605 is 5.
HCF(1110, 5605) = 5
HCF of 1110, 5605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1110, 5605 is 5.
Highest Common Factor of 1110,5605 is 5
Step 1: Since 5605 > 1110, we apply the division lemma to 5605 and 1110, to get
5605 = 1110 x 5 + 55
Step 2: Since the reminder 1110 ≠ 0, we apply division lemma to 55 and 1110, to get
1110 = 55 x 20 + 10
Step 3: We consider the new divisor 55 and the new remainder 10, and apply the division lemma to get
55 = 10 x 5 + 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 1110 and 5605 is 5
Notice that 5 = HCF(10,5) = HCF(55,10) = HCF(1110,55) = HCF(5605,1110) .
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Frequently Asked Questions on HCF of 1110, 5605 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 1110, 5605?
Answer: HCF of 1110, 5605 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1110, 5605 using Euclid's Algorithm?
Answer: For arbitrary numbers 1110, 5605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
