Highest Common Factor of 513, 373, 93 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 513, 373, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 513, 373, 93 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 513, 373, 93 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 513, 373, 93 is 1.
HCF(513, 373, 93) = 1
HCF of 513, 373, 93 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 513, 373, 93 is 1.
Highest Common Factor of 513,373,93 is 1
Step 1: Since 513 > 373, we apply the division lemma to 513 and 373, to get
513 = 373 x 1 + 140
Step 2: Since the reminder 373 ≠ 0, we apply division lemma to 140 and 373, to get
373 = 140 x 2 + 93
Step 3: We consider the new divisor 140 and the new remainder 93, and apply the division lemma to get
140 = 93 x 1 + 47
We consider the new divisor 93 and the new remainder 47,and apply the division lemma to get
93 = 47 x 1 + 46
We consider the new divisor 47 and the new remainder 46,and apply the division lemma to get
47 = 46 x 1 + 1
We consider the new divisor 46 and the new remainder 1,and apply the division lemma to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 513 and 373 is 1
Notice that 1 = HCF(46,1) = HCF(47,46) = HCF(93,47) = HCF(140,93) = HCF(373,140) = HCF(513,373) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1
Notice that 1 = HCF(93,1) .
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Frequently Asked Questions on HCF of 513, 373, 93 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 513, 373, 93?
Answer: HCF of 513, 373, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 513, 373, 93 using Euclid's Algorithm?
Answer: For arbitrary numbers 513, 373, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.