Highest Common Factor of 7768, 5661 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 7768, 5661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7768, 5661 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 7768, 5661 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 7768, 5661 is 1.
HCF(7768, 5661) = 1
HCF of 7768, 5661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7768, 5661 is 1.
Highest Common Factor of 7768,5661 is 1
Step 1: Since 7768 > 5661, we apply the division lemma to 7768 and 5661, to get
7768 = 5661 x 1 + 2107
Step 2: Since the reminder 5661 ≠ 0, we apply division lemma to 2107 and 5661, to get
5661 = 2107 x 2 + 1447
Step 3: We consider the new divisor 2107 and the new remainder 1447, and apply the division lemma to get
2107 = 1447 x 1 + 660
We consider the new divisor 1447 and the new remainder 660,and apply the division lemma to get
1447 = 660 x 2 + 127
We consider the new divisor 660 and the new remainder 127,and apply the division lemma to get
660 = 127 x 5 + 25
We consider the new divisor 127 and the new remainder 25,and apply the division lemma to get
127 = 25 x 5 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 7768 and 5661 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(127,25) = HCF(660,127) = HCF(1447,660) = HCF(2107,1447) = HCF(5661,2107) = HCF(7768,5661) .
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Frequently Asked Questions on HCF of 7768, 5661 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 7768, 5661?
Answer: HCF of 7768, 5661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7768, 5661 using Euclid's Algorithm?
Answer: For arbitrary numbers 7768, 5661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.