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 5167, 8710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5167, 8710 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 5167, 8710 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 5167, 8710 is 1.
HCF(5167, 8710) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5167, 8710 is 1.
Step 1: Since 8710 > 5167, we apply the division lemma to 8710 and 5167, to get
8710 = 5167 x 1 + 3543
Step 2: Since the reminder 5167 ≠ 0, we apply division lemma to 3543 and 5167, to get
5167 = 3543 x 1 + 1624
Step 3: We consider the new divisor 3543 and the new remainder 1624, and apply the division lemma to get
3543 = 1624 x 2 + 295
We consider the new divisor 1624 and the new remainder 295,and apply the division lemma to get
1624 = 295 x 5 + 149
We consider the new divisor 295 and the new remainder 149,and apply the division lemma to get
295 = 149 x 1 + 146
We consider the new divisor 149 and the new remainder 146,and apply the division lemma to get
149 = 146 x 1 + 3
We consider the new divisor 146 and the new remainder 3,and apply the division lemma to get
146 = 3 x 48 + 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 5167 and 8710 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(146,3) = HCF(149,146) = HCF(295,149) = HCF(1624,295) = HCF(3543,1624) = HCF(5167,3543) = HCF(8710,5167) .
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 5167, 8710?
Answer: HCF of 5167, 8710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5167, 8710 using Euclid's Algorithm?
Answer: For arbitrary numbers 5167, 8710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.