Highest Common Factor of 7769, 3670 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 7769, 3670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7769, 3670 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 7769, 3670 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 7769, 3670 is 1.
HCF(7769, 3670) = 1
HCF of 7769, 3670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7769, 3670 is 1.
Highest Common Factor of 7769,3670 is 1
Step 1: Since 7769 > 3670, we apply the division lemma to 7769 and 3670, to get
7769 = 3670 x 2 + 429
Step 2: Since the reminder 3670 ≠ 0, we apply division lemma to 429 and 3670, to get
3670 = 429 x 8 + 238
Step 3: We consider the new divisor 429 and the new remainder 238, and apply the division lemma to get
429 = 238 x 1 + 191
We consider the new divisor 238 and the new remainder 191,and apply the division lemma to get
238 = 191 x 1 + 47
We consider the new divisor 191 and the new remainder 47,and apply the division lemma to get
191 = 47 x 4 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 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 7769 and 3670 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(191,47) = HCF(238,191) = HCF(429,238) = HCF(3670,429) = HCF(7769,3670) .
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Frequently Asked Questions on HCF of 7769, 3670 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 7769, 3670?
Answer: HCF of 7769, 3670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7769, 3670 using Euclid's Algorithm?
Answer: For arbitrary numbers 7769, 3670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.