Highest Common Factor of 7677, 895 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 7677, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7677, 895 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 7677, 895 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 7677, 895 is 1.
HCF(7677, 895) = 1
HCF of 7677, 895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7677, 895 is 1.
Highest Common Factor of 7677,895 is 1
Step 1: Since 7677 > 895, we apply the division lemma to 7677 and 895, to get
7677 = 895 x 8 + 517
Step 2: Since the reminder 895 ≠ 0, we apply division lemma to 517 and 895, to get
895 = 517 x 1 + 378
Step 3: We consider the new divisor 517 and the new remainder 378, and apply the division lemma to get
517 = 378 x 1 + 139
We consider the new divisor 378 and the new remainder 139,and apply the division lemma to get
378 = 139 x 2 + 100
We consider the new divisor 139 and the new remainder 100,and apply the division lemma to get
139 = 100 x 1 + 39
We consider the new divisor 100 and the new remainder 39,and apply the division lemma to get
100 = 39 x 2 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7677 and 895 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(100,39) = HCF(139,100) = HCF(378,139) = HCF(517,378) = HCF(895,517) = HCF(7677,895) .
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Frequently Asked Questions on HCF of 7677, 895 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 7677, 895?
Answer: HCF of 7677, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7677, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 7677, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.