Highest Common Factor of 4504, 3057 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 4504, 3057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4504, 3057 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 4504, 3057 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 4504, 3057 is 1.
HCF(4504, 3057) = 1
HCF of 4504, 3057 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4504, 3057 is 1.
Highest Common Factor of 4504,3057 is 1
Step 1: Since 4504 > 3057, we apply the division lemma to 4504 and 3057, to get
4504 = 3057 x 1 + 1447
Step 2: Since the reminder 3057 ≠ 0, we apply division lemma to 1447 and 3057, to get
3057 = 1447 x 2 + 163
Step 3: We consider the new divisor 1447 and the new remainder 163, and apply the division lemma to get
1447 = 163 x 8 + 143
We consider the new divisor 163 and the new remainder 143,and apply the division lemma to get
163 = 143 x 1 + 20
We consider the new divisor 143 and the new remainder 20,and apply the division lemma to get
143 = 20 x 7 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 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 4504 and 3057 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(143,20) = HCF(163,143) = HCF(1447,163) = HCF(3057,1447) = HCF(4504,3057) .
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Frequently Asked Questions on HCF of 4504, 3057 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 4504, 3057?
Answer: HCF of 4504, 3057 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4504, 3057 using Euclid's Algorithm?
Answer: For arbitrary numbers 4504, 3057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.