Highest Common Factor of 5406, 3074 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 5406, 3074 i.e. 106 the largest integer that leaves a remainder zero for all numbers.
HCF of 5406, 3074 is 106 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 5406, 3074 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 5406, 3074 is 106.
HCF(5406, 3074) = 106
HCF of 5406, 3074 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5406, 3074 is 106.
Highest Common Factor of 5406,3074 is 106
Step 1: Since 5406 > 3074, we apply the division lemma to 5406 and 3074, to get
5406 = 3074 x 1 + 2332
Step 2: Since the reminder 3074 ≠ 0, we apply division lemma to 2332 and 3074, to get
3074 = 2332 x 1 + 742
Step 3: We consider the new divisor 2332 and the new remainder 742, and apply the division lemma to get
2332 = 742 x 3 + 106
We consider the new divisor 742 and the new remainder 106, and apply the division lemma to get
742 = 106 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 106, the HCF of 5406 and 3074 is 106
Notice that 106 = HCF(742,106) = HCF(2332,742) = HCF(3074,2332) = HCF(5406,3074) .
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Frequently Asked Questions on HCF of 5406, 3074 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 5406, 3074?
Answer: HCF of 5406, 3074 is 106 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5406, 3074 using Euclid's Algorithm?
Answer: For arbitrary numbers 5406, 3074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.