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 6542, 9407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6542, 9407 is 1 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 6542, 9407 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 6542, 9407 is 1.
HCF(6542, 9407) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6542, 9407 is 1.
Step 1: Since 9407 > 6542, we apply the division lemma to 9407 and 6542, to get
9407 = 6542 x 1 + 2865
Step 2: Since the reminder 6542 ≠ 0, we apply division lemma to 2865 and 6542, to get
6542 = 2865 x 2 + 812
Step 3: We consider the new divisor 2865 and the new remainder 812, and apply the division lemma to get
2865 = 812 x 3 + 429
We consider the new divisor 812 and the new remainder 429,and apply the division lemma to get
812 = 429 x 1 + 383
We consider the new divisor 429 and the new remainder 383,and apply the division lemma to get
429 = 383 x 1 + 46
We consider the new divisor 383 and the new remainder 46,and apply the division lemma to get
383 = 46 x 8 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6542 and 9407 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(383,46) = HCF(429,383) = HCF(812,429) = HCF(2865,812) = HCF(6542,2865) = HCF(9407,6542) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6542, 9407?
Answer: HCF of 6542, 9407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6542, 9407 using Euclid's Algorithm?
Answer: For arbitrary numbers 6542, 9407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.