Highest Common Factor of 7645, 1779 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 7645, 1779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7645, 1779 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 7645, 1779 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 7645, 1779 is 1.
HCF(7645, 1779) = 1
HCF of 7645, 1779 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7645, 1779 is 1.
Highest Common Factor of 7645,1779 is 1
Step 1: Since 7645 > 1779, we apply the division lemma to 7645 and 1779, to get
7645 = 1779 x 4 + 529
Step 2: Since the reminder 1779 ≠ 0, we apply division lemma to 529 and 1779, to get
1779 = 529 x 3 + 192
Step 3: We consider the new divisor 529 and the new remainder 192, and apply the division lemma to get
529 = 192 x 2 + 145
We consider the new divisor 192 and the new remainder 145,and apply the division lemma to get
192 = 145 x 1 + 47
We consider the new divisor 145 and the new remainder 47,and apply the division lemma to get
145 = 47 x 3 + 4
We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get
47 = 4 x 11 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 7645 and 1779 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(145,47) = HCF(192,145) = HCF(529,192) = HCF(1779,529) = HCF(7645,1779) .
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Frequently Asked Questions on HCF of 7645, 1779 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 7645, 1779?
Answer: HCF of 7645, 1779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7645, 1779 using Euclid's Algorithm?
Answer: For arbitrary numbers 7645, 1779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.