Highest Common Factor of 3164, 5884 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 3164, 5884 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3164, 5884 is 4 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 3164, 5884 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 3164, 5884 is 4.
HCF(3164, 5884) = 4
HCF of 3164, 5884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3164, 5884 is 4.
Highest Common Factor of 3164,5884 is 4
Step 1: Since 5884 > 3164, we apply the division lemma to 5884 and 3164, to get
5884 = 3164 x 1 + 2720
Step 2: Since the reminder 3164 ≠ 0, we apply division lemma to 2720 and 3164, to get
3164 = 2720 x 1 + 444
Step 3: We consider the new divisor 2720 and the new remainder 444, and apply the division lemma to get
2720 = 444 x 6 + 56
We consider the new divisor 444 and the new remainder 56,and apply the division lemma to get
444 = 56 x 7 + 52
We consider the new divisor 56 and the new remainder 52,and apply the division lemma to get
56 = 52 x 1 + 4
We consider the new divisor 52 and the new remainder 4,and apply the division lemma to get
52 = 4 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3164 and 5884 is 4
Notice that 4 = HCF(52,4) = HCF(56,52) = HCF(444,56) = HCF(2720,444) = HCF(3164,2720) = HCF(5884,3164) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3164, 5884 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 3164, 5884?
Answer: HCF of 3164, 5884 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3164, 5884 using Euclid's Algorithm?
Answer: For arbitrary numbers 3164, 5884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.