Highest Common Factor of 1327, 8700, 15937 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 1327, 8700, 15937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1327, 8700, 15937 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 1327, 8700, 15937 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 1327, 8700, 15937 is 1.
HCF(1327, 8700, 15937) = 1
HCF of 1327, 8700, 15937 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1327, 8700, 15937 is 1.
Highest Common Factor of 1327,8700,15937 is 1
Step 1: Since 8700 > 1327, we apply the division lemma to 8700 and 1327, to get
8700 = 1327 x 6 + 738
Step 2: Since the reminder 1327 ≠ 0, we apply division lemma to 738 and 1327, to get
1327 = 738 x 1 + 589
Step 3: We consider the new divisor 738 and the new remainder 589, and apply the division lemma to get
738 = 589 x 1 + 149
We consider the new divisor 589 and the new remainder 149,and apply the division lemma to get
589 = 149 x 3 + 142
We consider the new divisor 149 and the new remainder 142,and apply the division lemma to get
149 = 142 x 1 + 7
We consider the new divisor 142 and the new remainder 7,and apply the division lemma to get
142 = 7 x 20 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 1327 and 8700 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(142,7) = HCF(149,142) = HCF(589,149) = HCF(738,589) = HCF(1327,738) = HCF(8700,1327) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15937 > 1, we apply the division lemma to 15937 and 1, to get
15937 = 1 x 15937 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15937 is 1
Notice that 1 = HCF(15937,1) .
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Frequently Asked Questions on HCF of 1327, 8700, 15937 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 1327, 8700, 15937?
Answer: HCF of 1327, 8700, 15937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1327, 8700, 15937 using Euclid's Algorithm?
Answer: For arbitrary numbers 1327, 8700, 15937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
