Highest Common Factor of 5664, 3127 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 5664, 3127 i.e. 59 the largest integer that leaves a remainder zero for all numbers.
HCF of 5664, 3127 is 59 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 5664, 3127 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 5664, 3127 is 59.
HCF(5664, 3127) = 59
HCF of 5664, 3127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5664, 3127 is 59.
Highest Common Factor of 5664,3127 is 59
Step 1: Since 5664 > 3127, we apply the division lemma to 5664 and 3127, to get
5664 = 3127 x 1 + 2537
Step 2: Since the reminder 3127 ≠ 0, we apply division lemma to 2537 and 3127, to get
3127 = 2537 x 1 + 590
Step 3: We consider the new divisor 2537 and the new remainder 590, and apply the division lemma to get
2537 = 590 x 4 + 177
We consider the new divisor 590 and the new remainder 177,and apply the division lemma to get
590 = 177 x 3 + 59
We consider the new divisor 177 and the new remainder 59,and apply the division lemma to get
177 = 59 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 5664 and 3127 is 59
Notice that 59 = HCF(177,59) = HCF(590,177) = HCF(2537,590) = HCF(3127,2537) = HCF(5664,3127) .
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Frequently Asked Questions on HCF of 5664, 3127 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 5664, 3127?
Answer: HCF of 5664, 3127 is 59 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5664, 3127 using Euclid's Algorithm?
Answer: For arbitrary numbers 5664, 3127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.