Highest Common Factor of 393, 736, 347, 252 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 393, 736, 347, 252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 736, 347, 252 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 393, 736, 347, 252 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 393, 736, 347, 252 is 1.
HCF(393, 736, 347, 252) = 1
HCF of 393, 736, 347, 252 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 736, 347, 252 is 1.
Highest Common Factor of 393,736,347,252 is 1
Step 1: Since 736 > 393, we apply the division lemma to 736 and 393, to get
736 = 393 x 1 + 343
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 343 and 393, to get
393 = 343 x 1 + 50
Step 3: We consider the new divisor 343 and the new remainder 50, and apply the division lemma to get
343 = 50 x 6 + 43
We consider the new divisor 50 and the new remainder 43,and apply the division lemma to get
50 = 43 x 1 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 393 and 736 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(50,43) = HCF(343,50) = HCF(393,343) = HCF(736,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 347 > 1, we apply the division lemma to 347 and 1, to get
347 = 1 x 347 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 347 is 1
Notice that 1 = HCF(347,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 252 > 1, we apply the division lemma to 252 and 1, to get
252 = 1 x 252 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 252 is 1
Notice that 1 = HCF(252,1) .
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Frequently Asked Questions on HCF of 393, 736, 347, 252 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 393, 736, 347, 252?
Answer: HCF of 393, 736, 347, 252 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 736, 347, 252 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 736, 347, 252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.