Highest Common Factor of 6785, 4327 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 6785, 4327 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6785, 4327 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 6785, 4327 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 6785, 4327 is 1.
HCF(6785, 4327) = 1
HCF of 6785, 4327 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6785, 4327 is 1.
Highest Common Factor of 6785,4327 is 1
Step 1: Since 6785 > 4327, we apply the division lemma to 6785 and 4327, to get
6785 = 4327 x 1 + 2458
Step 2: Since the reminder 4327 ≠ 0, we apply division lemma to 2458 and 4327, to get
4327 = 2458 x 1 + 1869
Step 3: We consider the new divisor 2458 and the new remainder 1869, and apply the division lemma to get
2458 = 1869 x 1 + 589
We consider the new divisor 1869 and the new remainder 589,and apply the division lemma to get
1869 = 589 x 3 + 102
We consider the new divisor 589 and the new remainder 102,and apply the division lemma to get
589 = 102 x 5 + 79
We consider the new divisor 102 and the new remainder 79,and apply the division lemma to get
102 = 79 x 1 + 23
We consider the new divisor 79 and the new remainder 23,and apply the division lemma to get
79 = 23 x 3 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6785 and 4327 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(79,23) = HCF(102,79) = HCF(589,102) = HCF(1869,589) = HCF(2458,1869) = HCF(4327,2458) = HCF(6785,4327) .
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Frequently Asked Questions on HCF of 6785, 4327 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 6785, 4327?
Answer: HCF of 6785, 4327 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6785, 4327 using Euclid's Algorithm?
Answer: For arbitrary numbers 6785, 4327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
