Highest Common Factor of 1123, 2225, 17503 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 1123, 2225, 17503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1123, 2225, 17503 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 1123, 2225, 17503 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 1123, 2225, 17503 is 1.
HCF(1123, 2225, 17503) = 1
HCF of 1123, 2225, 17503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1123, 2225, 17503 is 1.
Highest Common Factor of 1123,2225,17503 is 1
Step 1: Since 2225 > 1123, we apply the division lemma to 2225 and 1123, to get
2225 = 1123 x 1 + 1102
Step 2: Since the reminder 1123 ≠ 0, we apply division lemma to 1102 and 1123, to get
1123 = 1102 x 1 + 21
Step 3: We consider the new divisor 1102 and the new remainder 21, and apply the division lemma to get
1102 = 21 x 52 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1123 and 2225 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(1102,21) = HCF(1123,1102) = HCF(2225,1123) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17503 > 1, we apply the division lemma to 17503 and 1, to get
17503 = 1 x 17503 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17503 is 1
Notice that 1 = HCF(17503,1) .
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Frequently Asked Questions on HCF of 1123, 2225, 17503 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 1123, 2225, 17503?
Answer: HCF of 1123, 2225, 17503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1123, 2225, 17503 using Euclid's Algorithm?
Answer: For arbitrary numbers 1123, 2225, 17503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.