Highest Common Factor of 1100, 4594 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 1100, 4594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1100, 4594 is 2 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 1100, 4594 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 1100, 4594 is 2.
HCF(1100, 4594) = 2
HCF of 1100, 4594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1100, 4594 is 2.
Highest Common Factor of 1100,4594 is 2
Step 1: Since 4594 > 1100, we apply the division lemma to 4594 and 1100, to get
4594 = 1100 x 4 + 194
Step 2: Since the reminder 1100 ≠ 0, we apply division lemma to 194 and 1100, to get
1100 = 194 x 5 + 130
Step 3: We consider the new divisor 194 and the new remainder 130, and apply the division lemma to get
194 = 130 x 1 + 64
We consider the new divisor 130 and the new remainder 64,and apply the division lemma to get
130 = 64 x 2 + 2
We consider the new divisor 64 and the new remainder 2,and apply the division lemma to get
64 = 2 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1100 and 4594 is 2
Notice that 2 = HCF(64,2) = HCF(130,64) = HCF(194,130) = HCF(1100,194) = HCF(4594,1100) .
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Frequently Asked Questions on HCF of 1100, 4594 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 1100, 4594?
Answer: HCF of 1100, 4594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1100, 4594 using Euclid's Algorithm?
Answer: For arbitrary numbers 1100, 4594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.