Highest Common Factor of 553, 4070 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 553, 4070 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 4070 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 553, 4070 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 553, 4070 is 1.
HCF(553, 4070) = 1
HCF of 553, 4070 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 4070 is 1.
Highest Common Factor of 553,4070 is 1
Step 1: Since 4070 > 553, we apply the division lemma to 4070 and 553, to get
4070 = 553 x 7 + 199
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 199 and 553, to get
553 = 199 x 2 + 155
Step 3: We consider the new divisor 199 and the new remainder 155, and apply the division lemma to get
199 = 155 x 1 + 44
We consider the new divisor 155 and the new remainder 44,and apply the division lemma to get
155 = 44 x 3 + 23
We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get
44 = 23 x 1 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 553 and 4070 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(155,44) = HCF(199,155) = HCF(553,199) = HCF(4070,553) .
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Frequently Asked Questions on HCF of 553, 4070 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 553, 4070?
Answer: HCF of 553, 4070 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 4070 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 4070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
