Highest Common Factor of 8454, 3350 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 8454, 3350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8454, 3350 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 8454, 3350 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 8454, 3350 is 2.
HCF(8454, 3350) = 2
HCF of 8454, 3350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8454, 3350 is 2.
Highest Common Factor of 8454,3350 is 2
Step 1: Since 8454 > 3350, we apply the division lemma to 8454 and 3350, to get
8454 = 3350 x 2 + 1754
Step 2: Since the reminder 3350 ≠ 0, we apply division lemma to 1754 and 3350, to get
3350 = 1754 x 1 + 1596
Step 3: We consider the new divisor 1754 and the new remainder 1596, and apply the division lemma to get
1754 = 1596 x 1 + 158
We consider the new divisor 1596 and the new remainder 158,and apply the division lemma to get
1596 = 158 x 10 + 16
We consider the new divisor 158 and the new remainder 16,and apply the division lemma to get
158 = 16 x 9 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8454 and 3350 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(158,16) = HCF(1596,158) = HCF(1754,1596) = HCF(3350,1754) = HCF(8454,3350) .
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Frequently Asked Questions on HCF of 8454, 3350 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 8454, 3350?
Answer: HCF of 8454, 3350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8454, 3350 using Euclid's Algorithm?
Answer: For arbitrary numbers 8454, 3350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
