Highest Common Factor of 773, 937, 494 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 773, 937, 494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 773, 937, 494 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 773, 937, 494 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 773, 937, 494 is 1.
HCF(773, 937, 494) = 1
HCF of 773, 937, 494 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 773, 937, 494 is 1.
Highest Common Factor of 773,937,494 is 1
Step 1: Since 937 > 773, we apply the division lemma to 937 and 773, to get
937 = 773 x 1 + 164
Step 2: Since the reminder 773 ≠ 0, we apply division lemma to 164 and 773, to get
773 = 164 x 4 + 117
Step 3: We consider the new divisor 164 and the new remainder 117, and apply the division lemma to get
164 = 117 x 1 + 47
We consider the new divisor 117 and the new remainder 47,and apply the division lemma to get
117 = 47 x 2 + 23
We consider the new divisor 47 and the new remainder 23,and apply the division lemma to get
47 = 23 x 2 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 773 and 937 is 1
Notice that 1 = HCF(23,1) = HCF(47,23) = HCF(117,47) = HCF(164,117) = HCF(773,164) = HCF(937,773) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 494 > 1, we apply the division lemma to 494 and 1, to get
494 = 1 x 494 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 494 is 1
Notice that 1 = HCF(494,1) .
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Frequently Asked Questions on HCF of 773, 937, 494 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 773, 937, 494?
Answer: HCF of 773, 937, 494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 773, 937, 494 using Euclid's Algorithm?
Answer: For arbitrary numbers 773, 937, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.