Highest Common Factor of 352, 418, 525, 54 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 352, 418, 525, 54 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 352, 418, 525, 54 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 352, 418, 525, 54 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 352, 418, 525, 54 is 1.
HCF(352, 418, 525, 54) = 1
HCF of 352, 418, 525, 54 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 352, 418, 525, 54 is 1.
Highest Common Factor of 352,418,525,54 is 1
Step 1: Since 418 > 352, we apply the division lemma to 418 and 352, to get
418 = 352 x 1 + 66
Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 66 and 352, to get
352 = 66 x 5 + 22
Step 3: We consider the new divisor 66 and the new remainder 22, and apply the division lemma to get
66 = 22 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 352 and 418 is 22
Notice that 22 = HCF(66,22) = HCF(352,66) = HCF(418,352) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 525 > 22, we apply the division lemma to 525 and 22, to get
525 = 22 x 23 + 19
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 19 and 22, to get
22 = 19 x 1 + 3
Step 3: We consider the new divisor 19 and the new remainder 3, and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 525 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(525,22) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54 > 1, we apply the division lemma to 54 and 1, to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54 is 1
Notice that 1 = HCF(54,1) .
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Frequently Asked Questions on HCF of 352, 418, 525, 54 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 352, 418, 525, 54?
Answer: HCF of 352, 418, 525, 54 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 352, 418, 525, 54 using Euclid's Algorithm?
Answer: For arbitrary numbers 352, 418, 525, 54 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.