Highest Common Factor of 5619, 7577 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 5619, 7577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5619, 7577 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 5619, 7577 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 5619, 7577 is 1.
HCF(5619, 7577) = 1
HCF of 5619, 7577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5619, 7577 is 1.
Highest Common Factor of 5619,7577 is 1
Step 1: Since 7577 > 5619, we apply the division lemma to 7577 and 5619, to get
7577 = 5619 x 1 + 1958
Step 2: Since the reminder 5619 ≠ 0, we apply division lemma to 1958 and 5619, to get
5619 = 1958 x 2 + 1703
Step 3: We consider the new divisor 1958 and the new remainder 1703, and apply the division lemma to get
1958 = 1703 x 1 + 255
We consider the new divisor 1703 and the new remainder 255,and apply the division lemma to get
1703 = 255 x 6 + 173
We consider the new divisor 255 and the new remainder 173,and apply the division lemma to get
255 = 173 x 1 + 82
We consider the new divisor 173 and the new remainder 82,and apply the division lemma to get
173 = 82 x 2 + 9
We consider the new divisor 82 and the new remainder 9,and apply the division lemma to get
82 = 9 x 9 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5619 and 7577 is 1
Notice that 1 = HCF(9,1) = HCF(82,9) = HCF(173,82) = HCF(255,173) = HCF(1703,255) = HCF(1958,1703) = HCF(5619,1958) = HCF(7577,5619) .
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Frequently Asked Questions on HCF of 5619, 7577 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 5619, 7577?
Answer: HCF of 5619, 7577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5619, 7577 using Euclid's Algorithm?
Answer: For arbitrary numbers 5619, 7577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.