Highest Common Factor of 8834, 3129 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 8834, 3129 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8834, 3129 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 8834, 3129 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 8834, 3129 is 7.
HCF(8834, 3129) = 7
HCF of 8834, 3129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8834, 3129 is 7.
Highest Common Factor of 8834,3129 is 7
Step 1: Since 8834 > 3129, we apply the division lemma to 8834 and 3129, to get
8834 = 3129 x 2 + 2576
Step 2: Since the reminder 3129 ≠ 0, we apply division lemma to 2576 and 3129, to get
3129 = 2576 x 1 + 553
Step 3: We consider the new divisor 2576 and the new remainder 553, and apply the division lemma to get
2576 = 553 x 4 + 364
We consider the new divisor 553 and the new remainder 364,and apply the division lemma to get
553 = 364 x 1 + 189
We consider the new divisor 364 and the new remainder 189,and apply the division lemma to get
364 = 189 x 1 + 175
We consider the new divisor 189 and the new remainder 175,and apply the division lemma to get
189 = 175 x 1 + 14
We consider the new divisor 175 and the new remainder 14,and apply the division lemma to get
175 = 14 x 12 + 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 8834 and 3129 is 7
Notice that 7 = HCF(14,7) = HCF(175,14) = HCF(189,175) = HCF(364,189) = HCF(553,364) = HCF(2576,553) = HCF(3129,2576) = HCF(8834,3129) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8834, 3129 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 8834, 3129?
Answer: HCF of 8834, 3129 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8834, 3129 using Euclid's Algorithm?
Answer: For arbitrary numbers 8834, 3129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.