Highest Common Factor of 8169, 6758 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 8169, 6758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8169, 6758 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 8169, 6758 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 8169, 6758 is 1.
HCF(8169, 6758) = 1
HCF of 8169, 6758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8169, 6758 is 1.
Highest Common Factor of 8169,6758 is 1
Step 1: Since 8169 > 6758, we apply the division lemma to 8169 and 6758, to get
8169 = 6758 x 1 + 1411
Step 2: Since the reminder 6758 ≠ 0, we apply division lemma to 1411 and 6758, to get
6758 = 1411 x 4 + 1114
Step 3: We consider the new divisor 1411 and the new remainder 1114, and apply the division lemma to get
1411 = 1114 x 1 + 297
We consider the new divisor 1114 and the new remainder 297,and apply the division lemma to get
1114 = 297 x 3 + 223
We consider the new divisor 297 and the new remainder 223,and apply the division lemma to get
297 = 223 x 1 + 74
We consider the new divisor 223 and the new remainder 74,and apply the division lemma to get
223 = 74 x 3 + 1
We consider the new divisor 74 and the new remainder 1,and apply the division lemma to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8169 and 6758 is 1
Notice that 1 = HCF(74,1) = HCF(223,74) = HCF(297,223) = HCF(1114,297) = HCF(1411,1114) = HCF(6758,1411) = HCF(8169,6758) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8169, 6758 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 8169, 6758?
Answer: HCF of 8169, 6758 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8169, 6758 using Euclid's Algorithm?
Answer: For arbitrary numbers 8169, 6758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.