Highest Common Factor of 9713, 4113, 39656 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 9713, 4113, 39656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9713, 4113, 39656 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 9713, 4113, 39656 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 9713, 4113, 39656 is 1.
HCF(9713, 4113, 39656) = 1
HCF of 9713, 4113, 39656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9713, 4113, 39656 is 1.
Highest Common Factor of 9713,4113,39656 is 1
Step 1: Since 9713 > 4113, we apply the division lemma to 9713 and 4113, to get
9713 = 4113 x 2 + 1487
Step 2: Since the reminder 4113 ≠ 0, we apply division lemma to 1487 and 4113, to get
4113 = 1487 x 2 + 1139
Step 3: We consider the new divisor 1487 and the new remainder 1139, and apply the division lemma to get
1487 = 1139 x 1 + 348
We consider the new divisor 1139 and the new remainder 348,and apply the division lemma to get
1139 = 348 x 3 + 95
We consider the new divisor 348 and the new remainder 95,and apply the division lemma to get
348 = 95 x 3 + 63
We consider the new divisor 95 and the new remainder 63,and apply the division lemma to get
95 = 63 x 1 + 32
We consider the new divisor 63 and the new remainder 32,and apply the division lemma to get
63 = 32 x 1 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9713 and 4113 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(63,32) = HCF(95,63) = HCF(348,95) = HCF(1139,348) = HCF(1487,1139) = HCF(4113,1487) = HCF(9713,4113) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39656 > 1, we apply the division lemma to 39656 and 1, to get
39656 = 1 x 39656 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39656 is 1
Notice that 1 = HCF(39656,1) .
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Frequently Asked Questions on HCF of 9713, 4113, 39656 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 9713, 4113, 39656?
Answer: HCF of 9713, 4113, 39656 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9713, 4113, 39656 using Euclid's Algorithm?
Answer: For arbitrary numbers 9713, 4113, 39656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.