Highest Common Factor of 557, 5780 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 557, 5780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 5780 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 557, 5780 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 557, 5780 is 1.
HCF(557, 5780) = 1
HCF of 557, 5780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 5780 is 1.
Highest Common Factor of 557,5780 is 1
Step 1: Since 5780 > 557, we apply the division lemma to 5780 and 557, to get
5780 = 557 x 10 + 210
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 210 and 557, to get
557 = 210 x 2 + 137
Step 3: We consider the new divisor 210 and the new remainder 137, and apply the division lemma to get
210 = 137 x 1 + 73
We consider the new divisor 137 and the new remainder 73,and apply the division lemma to get
137 = 73 x 1 + 64
We consider the new divisor 73 and the new remainder 64,and apply the division lemma to get
73 = 64 x 1 + 9
We consider the new divisor 64 and the new remainder 9,and apply the division lemma to get
64 = 9 x 7 + 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 557 and 5780 is 1
Notice that 1 = HCF(9,1) = HCF(64,9) = HCF(73,64) = HCF(137,73) = HCF(210,137) = HCF(557,210) = HCF(5780,557) .
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Frequently Asked Questions on HCF of 557, 5780 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 557, 5780?
Answer: HCF of 557, 5780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 5780 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 5780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
