Highest Common Factor of 785, 3846 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 785, 3846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 3846 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 785, 3846 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 785, 3846 is 1.
HCF(785, 3846) = 1
HCF of 785, 3846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 3846 is 1.
Highest Common Factor of 785,3846 is 1
Step 1: Since 3846 > 785, we apply the division lemma to 3846 and 785, to get
3846 = 785 x 4 + 706
Step 2: Since the reminder 785 ≠ 0, we apply division lemma to 706 and 785, to get
785 = 706 x 1 + 79
Step 3: We consider the new divisor 706 and the new remainder 79, and apply the division lemma to get
706 = 79 x 8 + 74
We consider the new divisor 79 and the new remainder 74,and apply the division lemma to get
79 = 74 x 1 + 5
We consider the new divisor 74 and the new remainder 5,and apply the division lemma to get
74 = 5 x 14 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 785 and 3846 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(74,5) = HCF(79,74) = HCF(706,79) = HCF(785,706) = HCF(3846,785) .
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Frequently Asked Questions on HCF of 785, 3846 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 785, 3846?
Answer: HCF of 785, 3846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 3846 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 3846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.