Highest Common Factor of 3779, 7735 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 3779, 7735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3779, 7735 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 3779, 7735 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 3779, 7735 is 1.
HCF(3779, 7735) = 1
HCF of 3779, 7735 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3779, 7735 is 1.
Highest Common Factor of 3779,7735 is 1
Step 1: Since 7735 > 3779, we apply the division lemma to 7735 and 3779, to get
7735 = 3779 x 2 + 177
Step 2: Since the reminder 3779 ≠ 0, we apply division lemma to 177 and 3779, to get
3779 = 177 x 21 + 62
Step 3: We consider the new divisor 177 and the new remainder 62, and apply the division lemma to get
177 = 62 x 2 + 53
We consider the new divisor 62 and the new remainder 53,and apply the division lemma to get
62 = 53 x 1 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3779 and 7735 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(62,53) = HCF(177,62) = HCF(3779,177) = HCF(7735,3779) .
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Frequently Asked Questions on HCF of 3779, 7735 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 3779, 7735?
Answer: HCF of 3779, 7735 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3779, 7735 using Euclid's Algorithm?
Answer: For arbitrary numbers 3779, 7735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.