Highest Common Factor of 5033, 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 5033, 7678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5033, 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 5033, 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 5033, 7678 is 1.
HCF(5033, 7678) = 1
HCF of 5033, 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 5033, 7678 is 1.
Highest Common Factor of 5033,7678 is 1
Step 1: Since 7678 > 5033, we apply the division lemma to 7678 and 5033, to get
7678 = 5033 x 1 + 2645
Step 2: Since the reminder 5033 ≠ 0, we apply division lemma to 2645 and 5033, to get
5033 = 2645 x 1 + 2388
Step 3: We consider the new divisor 2645 and the new remainder 2388, and apply the division lemma to get
2645 = 2388 x 1 + 257
We consider the new divisor 2388 and the new remainder 257,and apply the division lemma to get
2388 = 257 x 9 + 75
We consider the new divisor 257 and the new remainder 75,and apply the division lemma to get
257 = 75 x 3 + 32
We consider the new divisor 75 and the new remainder 32,and apply the division lemma to get
75 = 32 x 2 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5033 and 7678 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(75,32) = HCF(257,75) = HCF(2388,257) = HCF(2645,2388) = HCF(5033,2645) = HCF(7678,5033) .
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Frequently Asked Questions on HCF of 5033, 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 5033, 7678?
Answer: HCF of 5033, 7678 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5033, 7678 using Euclid's Algorithm?
Answer: For arbitrary numbers 5033, 7678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.