Highest Common Factor of 4747, 7178 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 4747, 7178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4747, 7178 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 4747, 7178 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 4747, 7178 is 1.
HCF(4747, 7178) = 1
HCF of 4747, 7178 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4747, 7178 is 1.
Highest Common Factor of 4747,7178 is 1
Step 1: Since 7178 > 4747, we apply the division lemma to 7178 and 4747, to get
7178 = 4747 x 1 + 2431
Step 2: Since the reminder 4747 ≠ 0, we apply division lemma to 2431 and 4747, to get
4747 = 2431 x 1 + 2316
Step 3: We consider the new divisor 2431 and the new remainder 2316, and apply the division lemma to get
2431 = 2316 x 1 + 115
We consider the new divisor 2316 and the new remainder 115,and apply the division lemma to get
2316 = 115 x 20 + 16
We consider the new divisor 115 and the new remainder 16,and apply the division lemma to get
115 = 16 x 7 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 4747 and 7178 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(115,16) = HCF(2316,115) = HCF(2431,2316) = HCF(4747,2431) = HCF(7178,4747) .
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Frequently Asked Questions on HCF of 4747, 7178 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 4747, 7178?
Answer: HCF of 4747, 7178 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4747, 7178 using Euclid's Algorithm?
Answer: For arbitrary numbers 4747, 7178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.