Highest Common Factor of 2855, 7678 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 2855, 7678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2855, 7678 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 2855, 7678 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 2855, 7678 is 1.
HCF(2855, 7678) = 1
HCF of 2855, 7678 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2855, 7678 is 1.
Highest Common Factor of 2855,7678 is 1
Step 1: Since 7678 > 2855, we apply the division lemma to 7678 and 2855, to get
7678 = 2855 x 2 + 1968
Step 2: Since the reminder 2855 ≠ 0, we apply division lemma to 1968 and 2855, to get
2855 = 1968 x 1 + 887
Step 3: We consider the new divisor 1968 and the new remainder 887, and apply the division lemma to get
1968 = 887 x 2 + 194
We consider the new divisor 887 and the new remainder 194,and apply the division lemma to get
887 = 194 x 4 + 111
We consider the new divisor 194 and the new remainder 111,and apply the division lemma to get
194 = 111 x 1 + 83
We consider the new divisor 111 and the new remainder 83,and apply the division lemma to get
111 = 83 x 1 + 28
We consider the new divisor 83 and the new remainder 28,and apply the division lemma to get
83 = 28 x 2 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2855 and 7678 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(83,28) = HCF(111,83) = HCF(194,111) = HCF(887,194) = HCF(1968,887) = HCF(2855,1968) = HCF(7678,2855) .
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Frequently Asked Questions on HCF of 2855, 7678 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 2855, 7678?
Answer: HCF of 2855, 7678 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2855, 7678 using Euclid's Algorithm?
Answer: For arbitrary numbers 2855, 7678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.