Highest Common Factor of 4349, 6774 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 4349, 6774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4349, 6774 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 4349, 6774 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 4349, 6774 is 1.
HCF(4349, 6774) = 1
HCF of 4349, 6774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4349, 6774 is 1.
Highest Common Factor of 4349,6774 is 1
Step 1: Since 6774 > 4349, we apply the division lemma to 6774 and 4349, to get
6774 = 4349 x 1 + 2425
Step 2: Since the reminder 4349 ≠ 0, we apply division lemma to 2425 and 4349, to get
4349 = 2425 x 1 + 1924
Step 3: We consider the new divisor 2425 and the new remainder 1924, and apply the division lemma to get
2425 = 1924 x 1 + 501
We consider the new divisor 1924 and the new remainder 501,and apply the division lemma to get
1924 = 501 x 3 + 421
We consider the new divisor 501 and the new remainder 421,and apply the division lemma to get
501 = 421 x 1 + 80
We consider the new divisor 421 and the new remainder 80,and apply the division lemma to get
421 = 80 x 5 + 21
We consider the new divisor 80 and the new remainder 21,and apply the division lemma to get
80 = 21 x 3 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4349 and 6774 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(80,21) = HCF(421,80) = HCF(501,421) = HCF(1924,501) = HCF(2425,1924) = HCF(4349,2425) = HCF(6774,4349) .
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Frequently Asked Questions on HCF of 4349, 6774 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 4349, 6774?
Answer: HCF of 4349, 6774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4349, 6774 using Euclid's Algorithm?
Answer: For arbitrary numbers 4349, 6774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
