Highest Common Factor of 5752, 5277, 38317 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 5752, 5277, 38317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5752, 5277, 38317 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 5752, 5277, 38317 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 5752, 5277, 38317 is 1.
HCF(5752, 5277, 38317) = 1
HCF of 5752, 5277, 38317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5752, 5277, 38317 is 1.
Highest Common Factor of 5752,5277,38317 is 1
Step 1: Since 5752 > 5277, we apply the division lemma to 5752 and 5277, to get
5752 = 5277 x 1 + 475
Step 2: Since the reminder 5277 ≠ 0, we apply division lemma to 475 and 5277, to get
5277 = 475 x 11 + 52
Step 3: We consider the new divisor 475 and the new remainder 52, and apply the division lemma to get
475 = 52 x 9 + 7
We consider the new divisor 52 and the new remainder 7,and apply the division lemma to get
52 = 7 x 7 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5752 and 5277 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(52,7) = HCF(475,52) = HCF(5277,475) = HCF(5752,5277) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38317 > 1, we apply the division lemma to 38317 and 1, to get
38317 = 1 x 38317 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38317 is 1
Notice that 1 = HCF(38317,1) .
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Frequently Asked Questions on HCF of 5752, 5277, 38317 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 5752, 5277, 38317?
Answer: HCF of 5752, 5277, 38317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5752, 5277, 38317 using Euclid's Algorithm?
Answer: For arbitrary numbers 5752, 5277, 38317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.