Highest Common Factor of 7049, 4573 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 7049, 4573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7049, 4573 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 7049, 4573 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 7049, 4573 is 1.
HCF(7049, 4573) = 1
HCF of 7049, 4573 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7049, 4573 is 1.
Highest Common Factor of 7049,4573 is 1
Step 1: Since 7049 > 4573, we apply the division lemma to 7049 and 4573, to get
7049 = 4573 x 1 + 2476
Step 2: Since the reminder 4573 ≠ 0, we apply division lemma to 2476 and 4573, to get
4573 = 2476 x 1 + 2097
Step 3: We consider the new divisor 2476 and the new remainder 2097, and apply the division lemma to get
2476 = 2097 x 1 + 379
We consider the new divisor 2097 and the new remainder 379,and apply the division lemma to get
2097 = 379 x 5 + 202
We consider the new divisor 379 and the new remainder 202,and apply the division lemma to get
379 = 202 x 1 + 177
We consider the new divisor 202 and the new remainder 177,and apply the division lemma to get
202 = 177 x 1 + 25
We consider the new divisor 177 and the new remainder 25,and apply the division lemma to get
177 = 25 x 7 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 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 7049 and 4573 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(177,25) = HCF(202,177) = HCF(379,202) = HCF(2097,379) = HCF(2476,2097) = HCF(4573,2476) = HCF(7049,4573) .
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Frequently Asked Questions on HCF of 7049, 4573 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 7049, 4573?
Answer: HCF of 7049, 4573 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7049, 4573 using Euclid's Algorithm?
Answer: For arbitrary numbers 7049, 4573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.