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 7043, 6091, 80747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7043, 6091, 80747 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 7043, 6091, 80747 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 7043, 6091, 80747 is 1.
HCF(7043, 6091, 80747) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7043, 6091, 80747 is 1.
Step 1: Since 7043 > 6091, we apply the division lemma to 7043 and 6091, to get
7043 = 6091 x 1 + 952
Step 2: Since the reminder 6091 ≠ 0, we apply division lemma to 952 and 6091, to get
6091 = 952 x 6 + 379
Step 3: We consider the new divisor 952 and the new remainder 379, and apply the division lemma to get
952 = 379 x 2 + 194
We consider the new divisor 379 and the new remainder 194,and apply the division lemma to get
379 = 194 x 1 + 185
We consider the new divisor 194 and the new remainder 185,and apply the division lemma to get
194 = 185 x 1 + 9
We consider the new divisor 185 and the new remainder 9,and apply the division lemma to get
185 = 9 x 20 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7043 and 6091 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(185,9) = HCF(194,185) = HCF(379,194) = HCF(952,379) = HCF(6091,952) = HCF(7043,6091) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80747 > 1, we apply the division lemma to 80747 and 1, to get
80747 = 1 x 80747 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80747 is 1
Notice that 1 = HCF(80747,1) .
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 7043, 6091, 80747?
Answer: HCF of 7043, 6091, 80747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7043, 6091, 80747 using Euclid's Algorithm?
Answer: For arbitrary numbers 7043, 6091, 80747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.