Highest Common Factor of 595, 924, 58, 274 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 595, 924, 58, 274 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 595, 924, 58, 274 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 595, 924, 58, 274 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 595, 924, 58, 274 is 1.
HCF(595, 924, 58, 274) = 1
HCF of 595, 924, 58, 274 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 595, 924, 58, 274 is 1.
Highest Common Factor of 595,924,58,274 is 1
Step 1: Since 924 > 595, we apply the division lemma to 924 and 595, to get
924 = 595 x 1 + 329
Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 329 and 595, to get
595 = 329 x 1 + 266
Step 3: We consider the new divisor 329 and the new remainder 266, and apply the division lemma to get
329 = 266 x 1 + 63
We consider the new divisor 266 and the new remainder 63,and apply the division lemma to get
266 = 63 x 4 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 595 and 924 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(266,63) = HCF(329,266) = HCF(595,329) = HCF(924,595) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 7, we apply the division lemma to 58 and 7, to get
58 = 7 x 8 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 7 and 58 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(58,7) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 274 > 1, we apply the division lemma to 274 and 1, to get
274 = 1 x 274 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 274 is 1
Notice that 1 = HCF(274,1) .
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Frequently Asked Questions on HCF of 595, 924, 58, 274 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 595, 924, 58, 274?
Answer: HCF of 595, 924, 58, 274 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 595, 924, 58, 274 using Euclid's Algorithm?
Answer: For arbitrary numbers 595, 924, 58, 274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
