Highest Common Factor of 737, 538, 895, 339 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 737, 538, 895, 339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 737, 538, 895, 339 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 737, 538, 895, 339 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 737, 538, 895, 339 is 1.
HCF(737, 538, 895, 339) = 1
HCF of 737, 538, 895, 339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 737, 538, 895, 339 is 1.
Highest Common Factor of 737,538,895,339 is 1
Step 1: Since 737 > 538, we apply the division lemma to 737 and 538, to get
737 = 538 x 1 + 199
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 199 and 538, to get
538 = 199 x 2 + 140
Step 3: We consider the new divisor 199 and the new remainder 140, and apply the division lemma to get
199 = 140 x 1 + 59
We consider the new divisor 140 and the new remainder 59,and apply the division lemma to get
140 = 59 x 2 + 22
We consider the new divisor 59 and the new remainder 22,and apply the division lemma to get
59 = 22 x 2 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 737 and 538 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(59,22) = HCF(140,59) = HCF(199,140) = HCF(538,199) = HCF(737,538) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 1, we apply the division lemma to 895 and 1, to get
895 = 1 x 895 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 895 is 1
Notice that 1 = HCF(895,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 339 > 1, we apply the division lemma to 339 and 1, to get
339 = 1 x 339 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 339 is 1
Notice that 1 = HCF(339,1) .
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Frequently Asked Questions on HCF of 737, 538, 895, 339 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 737, 538, 895, 339?
Answer: HCF of 737, 538, 895, 339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 737, 538, 895, 339 using Euclid's Algorithm?
Answer: For arbitrary numbers 737, 538, 895, 339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.