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 6991, 2773, 92215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6991, 2773, 92215 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 6991, 2773, 92215 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 6991, 2773, 92215 is 1.
HCF(6991, 2773, 92215) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6991, 2773, 92215 is 1.
Step 1: Since 6991 > 2773, we apply the division lemma to 6991 and 2773, to get
6991 = 2773 x 2 + 1445
Step 2: Since the reminder 2773 ≠ 0, we apply division lemma to 1445 and 2773, to get
2773 = 1445 x 1 + 1328
Step 3: We consider the new divisor 1445 and the new remainder 1328, and apply the division lemma to get
1445 = 1328 x 1 + 117
We consider the new divisor 1328 and the new remainder 117,and apply the division lemma to get
1328 = 117 x 11 + 41
We consider the new divisor 117 and the new remainder 41,and apply the division lemma to get
117 = 41 x 2 + 35
We consider the new divisor 41 and the new remainder 35,and apply the division lemma to get
41 = 35 x 1 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 6991 and 2773 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(117,41) = HCF(1328,117) = HCF(1445,1328) = HCF(2773,1445) = HCF(6991,2773) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92215 > 1, we apply the division lemma to 92215 and 1, to get
92215 = 1 x 92215 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92215 is 1
Notice that 1 = HCF(92215,1) .
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 6991, 2773, 92215?
Answer: HCF of 6991, 2773, 92215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6991, 2773, 92215 using Euclid's Algorithm?
Answer: For arbitrary numbers 6991, 2773, 92215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.