Highest Common Factor of 524, 871, 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 524, 871, 175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 524, 871, 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 524, 871, 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 524, 871, 175 is 1.
HCF(524, 871, 175) = 1
HCF of 524, 871, 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 524, 871, 175 is 1.
Highest Common Factor of 524,871,175 is 1
Step 1: Since 871 > 524, we apply the division lemma to 871 and 524, to get
871 = 524 x 1 + 347
Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 347 and 524, to get
524 = 347 x 1 + 177
Step 3: We consider the new divisor 347 and the new remainder 177, and apply the division lemma to get
347 = 177 x 1 + 170
We consider the new divisor 177 and the new remainder 170,and apply the division lemma to get
177 = 170 x 1 + 7
We consider the new divisor 170 and the new remainder 7,and apply the division lemma to get
170 = 7 x 24 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 524 and 871 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(170,7) = HCF(177,170) = HCF(347,177) = HCF(524,347) = HCF(871,524) .
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 524, 871, 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 524, 871, 175?
Answer: HCF of 524, 871, 175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 524, 871, 175 using Euclid's Algorithm?
Answer: For arbitrary numbers 524, 871, 175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.