Highest Common Factor of 6942, 6484 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 6942, 6484 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6942, 6484 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 6942, 6484 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 6942, 6484 is 2.
HCF(6942, 6484) = 2
HCF of 6942, 6484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6942, 6484 is 2.
Highest Common Factor of 6942,6484 is 2
Step 1: Since 6942 > 6484, we apply the division lemma to 6942 and 6484, to get
6942 = 6484 x 1 + 458
Step 2: Since the reminder 6484 ≠ 0, we apply division lemma to 458 and 6484, to get
6484 = 458 x 14 + 72
Step 3: We consider the new divisor 458 and the new remainder 72, and apply the division lemma to get
458 = 72 x 6 + 26
We consider the new divisor 72 and the new remainder 26,and apply the division lemma to get
72 = 26 x 2 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6942 and 6484 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(72,26) = HCF(458,72) = HCF(6484,458) = HCF(6942,6484) .
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Frequently Asked Questions on HCF of 6942, 6484 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 6942, 6484?
Answer: HCF of 6942, 6484 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6942, 6484 using Euclid's Algorithm?
Answer: For arbitrary numbers 6942, 6484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.