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 937, 9113, 6086 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 9113, 6086 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 937, 9113, 6086 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 937, 9113, 6086 is 1.
HCF(937, 9113, 6086) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 937, 9113, 6086 is 1.
Step 1: Since 9113 > 937, we apply the division lemma to 9113 and 937, to get
9113 = 937 x 9 + 680
Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 680 and 937, to get
937 = 680 x 1 + 257
Step 3: We consider the new divisor 680 and the new remainder 257, and apply the division lemma to get
680 = 257 x 2 + 166
We consider the new divisor 257 and the new remainder 166,and apply the division lemma to get
257 = 166 x 1 + 91
We consider the new divisor 166 and the new remainder 91,and apply the division lemma to get
166 = 91 x 1 + 75
We consider the new divisor 91 and the new remainder 75,and apply the division lemma to get
91 = 75 x 1 + 16
We consider the new divisor 75 and the new remainder 16,and apply the division lemma to get
75 = 16 x 4 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 9113 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(75,16) = HCF(91,75) = HCF(166,91) = HCF(257,166) = HCF(680,257) = HCF(937,680) = HCF(9113,937) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6086 > 1, we apply the division lemma to 6086 and 1, to get
6086 = 1 x 6086 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6086 is 1
Notice that 1 = HCF(6086,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 937, 9113, 6086?
Answer: HCF of 937, 9113, 6086 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 9113, 6086 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 9113, 6086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.