Highest Common Factor of 525, 347, 700, 20 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 525, 347, 700, 20 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 347, 700, 20 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 525, 347, 700, 20 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 525, 347, 700, 20 is 1.
HCF(525, 347, 700, 20) = 1
HCF of 525, 347, 700, 20 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 347, 700, 20 is 1.
Highest Common Factor of 525,347,700,20 is 1
Step 1: Since 525 > 347, we apply the division lemma to 525 and 347, to get
525 = 347 x 1 + 178
Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 178 and 347, to get
347 = 178 x 1 + 169
Step 3: We consider the new divisor 178 and the new remainder 169, and apply the division lemma to get
178 = 169 x 1 + 9
We consider the new divisor 169 and the new remainder 9,and apply the division lemma to get
169 = 9 x 18 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 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 525 and 347 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(169,9) = HCF(178,169) = HCF(347,178) = HCF(525,347) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 700 > 1, we apply the division lemma to 700 and 1, to get
700 = 1 x 700 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 700 is 1
Notice that 1 = HCF(700,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20 is 1
Notice that 1 = HCF(20,1) .
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Frequently Asked Questions on HCF of 525, 347, 700, 20 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 525, 347, 700, 20?
Answer: HCF of 525, 347, 700, 20 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 347, 700, 20 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 347, 700, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.