Highest Common Factor of 1110, 7523 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, 7523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1110, 7523 is 1 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, 7523 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, 7523 is 1.
HCF(1110, 7523) = 1
HCF of 1110, 7523 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, 7523 is 1.
Highest Common Factor of 1110,7523 is 1
Step 1: Since 7523 > 1110, we apply the division lemma to 7523 and 1110, to get
7523 = 1110 x 6 + 863
Step 2: Since the reminder 1110 ≠ 0, we apply division lemma to 863 and 1110, to get
1110 = 863 x 1 + 247
Step 3: We consider the new divisor 863 and the new remainder 247, and apply the division lemma to get
863 = 247 x 3 + 122
We consider the new divisor 247 and the new remainder 122,and apply the division lemma to get
247 = 122 x 2 + 3
We consider the new divisor 122 and the new remainder 3,and apply the division lemma to get
122 = 3 x 40 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1110 and 7523 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(122,3) = HCF(247,122) = HCF(863,247) = HCF(1110,863) = HCF(7523,1110) .
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Frequently Asked Questions on HCF of 1110, 7523 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, 7523?
Answer: HCF of 1110, 7523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1110, 7523 using Euclid's Algorithm?
Answer: For arbitrary numbers 1110, 7523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.