Highest Common Factor of 7937, 8518, 10954 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 7937, 8518, 10954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7937, 8518, 10954 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 7937, 8518, 10954 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 7937, 8518, 10954 is 1.
HCF(7937, 8518, 10954) = 1
HCF of 7937, 8518, 10954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7937, 8518, 10954 is 1.
Highest Common Factor of 7937,8518,10954 is 1
Step 1: Since 8518 > 7937, we apply the division lemma to 8518 and 7937, to get
8518 = 7937 x 1 + 581
Step 2: Since the reminder 7937 ≠ 0, we apply division lemma to 581 and 7937, to get
7937 = 581 x 13 + 384
Step 3: We consider the new divisor 581 and the new remainder 384, and apply the division lemma to get
581 = 384 x 1 + 197
We consider the new divisor 384 and the new remainder 197,and apply the division lemma to get
384 = 197 x 1 + 187
We consider the new divisor 197 and the new remainder 187,and apply the division lemma to get
197 = 187 x 1 + 10
We consider the new divisor 187 and the new remainder 10,and apply the division lemma to get
187 = 10 x 18 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 7937 and 8518 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(187,10) = HCF(197,187) = HCF(384,197) = HCF(581,384) = HCF(7937,581) = HCF(8518,7937) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10954 > 1, we apply the division lemma to 10954 and 1, to get
10954 = 1 x 10954 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10954 is 1
Notice that 1 = HCF(10954,1) .
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Frequently Asked Questions on HCF of 7937, 8518, 10954 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 7937, 8518, 10954?
Answer: HCF of 7937, 8518, 10954 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7937, 8518, 10954 using Euclid's Algorithm?
Answer: For arbitrary numbers 7937, 8518, 10954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.