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, 8035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6542, 8035 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, 8035 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, 8035 is 1.
HCF(6542, 8035) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6542, 8035 is 1.
Step 1: Since 8035 > 6542, we apply the division lemma to 8035 and 6542, to get
8035 = 6542 x 1 + 1493
Step 2: Since the reminder 6542 ≠ 0, we apply division lemma to 1493 and 6542, to get
6542 = 1493 x 4 + 570
Step 3: We consider the new divisor 1493 and the new remainder 570, and apply the division lemma to get
1493 = 570 x 2 + 353
We consider the new divisor 570 and the new remainder 353,and apply the division lemma to get
570 = 353 x 1 + 217
We consider the new divisor 353 and the new remainder 217,and apply the division lemma to get
353 = 217 x 1 + 136
We consider the new divisor 217 and the new remainder 136,and apply the division lemma to get
217 = 136 x 1 + 81
We consider the new divisor 136 and the new remainder 81,and apply the division lemma to get
136 = 81 x 1 + 55
We consider the new divisor 81 and the new remainder 55,and apply the division lemma to get
81 = 55 x 1 + 26
We consider the new divisor 55 and the new remainder 26,and apply the division lemma to get
55 = 26 x 2 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6542 and 8035 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(55,26) = HCF(81,55) = HCF(136,81) = HCF(217,136) = HCF(353,217) = HCF(570,353) = HCF(1493,570) = HCF(6542,1493) = HCF(8035,6542) .
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, 8035?
Answer: HCF of 6542, 8035 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6542, 8035 using Euclid's Algorithm?
Answer: For arbitrary numbers 6542, 8035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.