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 5677, 5187 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5677, 5187 is 7 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 5677, 5187 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 5677, 5187 is 7.
HCF(5677, 5187) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5677, 5187 is 7.
Step 1: Since 5677 > 5187, we apply the division lemma to 5677 and 5187, to get
5677 = 5187 x 1 + 490
Step 2: Since the reminder 5187 ≠ 0, we apply division lemma to 490 and 5187, to get
5187 = 490 x 10 + 287
Step 3: We consider the new divisor 490 and the new remainder 287, and apply the division lemma to get
490 = 287 x 1 + 203
We consider the new divisor 287 and the new remainder 203,and apply the division lemma to get
287 = 203 x 1 + 84
We consider the new divisor 203 and the new remainder 84,and apply the division lemma to get
203 = 84 x 2 + 35
We consider the new divisor 84 and the new remainder 35,and apply the division lemma to get
84 = 35 x 2 + 14
We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get
35 = 14 x 2 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5677 and 5187 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(84,35) = HCF(203,84) = HCF(287,203) = HCF(490,287) = HCF(5187,490) = HCF(5677,5187) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5677, 5187?
Answer: HCF of 5677, 5187 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5677, 5187 using Euclid's Algorithm?
Answer: For arbitrary numbers 5677, 5187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.