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 7534, 6201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7534, 6201 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 7534, 6201 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 7534, 6201 is 1.
HCF(7534, 6201) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7534, 6201 is 1.
Step 1: Since 7534 > 6201, we apply the division lemma to 7534 and 6201, to get
7534 = 6201 x 1 + 1333
Step 2: Since the reminder 6201 ≠ 0, we apply division lemma to 1333 and 6201, to get
6201 = 1333 x 4 + 869
Step 3: We consider the new divisor 1333 and the new remainder 869, and apply the division lemma to get
1333 = 869 x 1 + 464
We consider the new divisor 869 and the new remainder 464,and apply the division lemma to get
869 = 464 x 1 + 405
We consider the new divisor 464 and the new remainder 405,and apply the division lemma to get
464 = 405 x 1 + 59
We consider the new divisor 405 and the new remainder 59,and apply the division lemma to get
405 = 59 x 6 + 51
We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get
59 = 51 x 1 + 8
We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get
51 = 8 x 6 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 7534 and 6201 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(405,59) = HCF(464,405) = HCF(869,464) = HCF(1333,869) = HCF(6201,1333) = HCF(7534,6201) .
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 7534, 6201?
Answer: HCF of 7534, 6201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7534, 6201 using Euclid's Algorithm?
Answer: For arbitrary numbers 7534, 6201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.