Highest Common Factor of 569, 379, 381, 175 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 569, 379, 381, 175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 569, 379, 381, 175 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 569, 379, 381, 175 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 569, 379, 381, 175 is 1.
HCF(569, 379, 381, 175) = 1
HCF of 569, 379, 381, 175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 569, 379, 381, 175 is 1.
Highest Common Factor of 569,379,381,175 is 1
Step 1: Since 569 > 379, we apply the division lemma to 569 and 379, to get
569 = 379 x 1 + 190
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 190 and 379, to get
379 = 190 x 1 + 189
Step 3: We consider the new divisor 190 and the new remainder 189, and apply the division lemma to get
190 = 189 x 1 + 1
We consider the new divisor 189 and the new remainder 1, and apply the division lemma to get
189 = 1 x 189 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 379 is 1
Notice that 1 = HCF(189,1) = HCF(190,189) = HCF(379,190) = HCF(569,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 381 > 1, we apply the division lemma to 381 and 1, to get
381 = 1 x 381 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 381 is 1
Notice that 1 = HCF(381,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 175 > 1, we apply the division lemma to 175 and 1, to get
175 = 1 x 175 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 175 is 1
Notice that 1 = HCF(175,1) .
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Frequently Asked Questions on HCF of 569, 379, 381, 175 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 569, 379, 381, 175?
Answer: HCF of 569, 379, 381, 175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 569, 379, 381, 175 using Euclid's Algorithm?
Answer: For arbitrary numbers 569, 379, 381, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.