Highest Common Factor of 3494, 8624 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 3494, 8624 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3494, 8624 is 2 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 3494, 8624 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 3494, 8624 is 2.
HCF(3494, 8624) = 2
HCF of 3494, 8624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3494, 8624 is 2.
Highest Common Factor of 3494,8624 is 2
Step 1: Since 8624 > 3494, we apply the division lemma to 8624 and 3494, to get
8624 = 3494 x 2 + 1636
Step 2: Since the reminder 3494 ≠ 0, we apply division lemma to 1636 and 3494, to get
3494 = 1636 x 2 + 222
Step 3: We consider the new divisor 1636 and the new remainder 222, and apply the division lemma to get
1636 = 222 x 7 + 82
We consider the new divisor 222 and the new remainder 82,and apply the division lemma to get
222 = 82 x 2 + 58
We consider the new divisor 82 and the new remainder 58,and apply the division lemma to get
82 = 58 x 1 + 24
We consider the new divisor 58 and the new remainder 24,and apply the division lemma to get
58 = 24 x 2 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3494 and 8624 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(58,24) = HCF(82,58) = HCF(222,82) = HCF(1636,222) = HCF(3494,1636) = HCF(8624,3494) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3494, 8624 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 3494, 8624?
Answer: HCF of 3494, 8624 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3494, 8624 using Euclid's Algorithm?
Answer: For arbitrary numbers 3494, 8624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.