Highest Common Factor of 521, 904, 242 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 521, 904, 242 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 904, 242 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 521, 904, 242 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 521, 904, 242 is 1.
HCF(521, 904, 242) = 1
HCF of 521, 904, 242 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 904, 242 is 1.
Highest Common Factor of 521,904,242 is 1
Step 1: Since 904 > 521, we apply the division lemma to 904 and 521, to get
904 = 521 x 1 + 383
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 383 and 521, to get
521 = 383 x 1 + 138
Step 3: We consider the new divisor 383 and the new remainder 138, and apply the division lemma to get
383 = 138 x 2 + 107
We consider the new divisor 138 and the new remainder 107,and apply the division lemma to get
138 = 107 x 1 + 31
We consider the new divisor 107 and the new remainder 31,and apply the division lemma to get
107 = 31 x 3 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 521 and 904 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(107,31) = HCF(138,107) = HCF(383,138) = HCF(521,383) = HCF(904,521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 242 > 1, we apply the division lemma to 242 and 1, to get
242 = 1 x 242 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 242 is 1
Notice that 1 = HCF(242,1) .
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Frequently Asked Questions on HCF of 521, 904, 242 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 521, 904, 242?
Answer: HCF of 521, 904, 242 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 904, 242 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 904, 242 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
