Highest Common Factor of 404, 648, 521, 957 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 404, 648, 521, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 648, 521, 957 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 404, 648, 521, 957 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 404, 648, 521, 957 is 1.
HCF(404, 648, 521, 957) = 1
HCF of 404, 648, 521, 957 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 648, 521, 957 is 1.
Highest Common Factor of 404,648,521,957 is 1
Step 1: Since 648 > 404, we apply the division lemma to 648 and 404, to get
648 = 404 x 1 + 244
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 244 and 404, to get
404 = 244 x 1 + 160
Step 3: We consider the new divisor 244 and the new remainder 160, and apply the division lemma to get
244 = 160 x 1 + 84
We consider the new divisor 160 and the new remainder 84,and apply the division lemma to get
160 = 84 x 1 + 76
We consider the new divisor 84 and the new remainder 76,and apply the division lemma to get
84 = 76 x 1 + 8
We consider the new divisor 76 and the new remainder 8,and apply the division lemma to get
76 = 8 x 9 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 404 and 648 is 4
Notice that 4 = HCF(8,4) = HCF(76,8) = HCF(84,76) = HCF(160,84) = HCF(244,160) = HCF(404,244) = HCF(648,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 521 > 4, we apply the division lemma to 521 and 4, to get
521 = 4 x 130 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 521 is 1
Notice that 1 = HCF(4,1) = HCF(521,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 957 > 1, we apply the division lemma to 957 and 1, to get
957 = 1 x 957 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 957 is 1
Notice that 1 = HCF(957,1) .
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Frequently Asked Questions on HCF of 404, 648, 521, 957 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 404, 648, 521, 957?
Answer: HCF of 404, 648, 521, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 648, 521, 957 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 648, 521, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.