Highest Common Factor of 113, 7539, 7386 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 113, 7539, 7386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 113, 7539, 7386 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 113, 7539, 7386 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 113, 7539, 7386 is 1.
HCF(113, 7539, 7386) = 1
HCF of 113, 7539, 7386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 113, 7539, 7386 is 1.
Highest Common Factor of 113,7539,7386 is 1
Step 1: Since 7539 > 113, we apply the division lemma to 7539 and 113, to get
7539 = 113 x 66 + 81
Step 2: Since the reminder 113 ≠ 0, we apply division lemma to 81 and 113, to get
113 = 81 x 1 + 32
Step 3: We consider the new divisor 81 and the new remainder 32, and apply the division lemma to get
81 = 32 x 2 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 113 and 7539 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(81,32) = HCF(113,81) = HCF(7539,113) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7386 > 1, we apply the division lemma to 7386 and 1, to get
7386 = 1 x 7386 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7386 is 1
Notice that 1 = HCF(7386,1) .
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Frequently Asked Questions on HCF of 113, 7539, 7386 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 113, 7539, 7386?
Answer: HCF of 113, 7539, 7386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 113, 7539, 7386 using Euclid's Algorithm?
Answer: For arbitrary numbers 113, 7539, 7386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.