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 671, 9081, 1098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 671, 9081, 1098 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 671, 9081, 1098 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 671, 9081, 1098 is 1.
HCF(671, 9081, 1098) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 671, 9081, 1098 is 1.
Step 1: Since 9081 > 671, we apply the division lemma to 9081 and 671, to get
9081 = 671 x 13 + 358
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 358 and 671, to get
671 = 358 x 1 + 313
Step 3: We consider the new divisor 358 and the new remainder 313, and apply the division lemma to get
358 = 313 x 1 + 45
We consider the new divisor 313 and the new remainder 45,and apply the division lemma to get
313 = 45 x 6 + 43
We consider the new divisor 45 and the new remainder 43,and apply the division lemma to get
45 = 43 x 1 + 2
We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get
43 = 2 x 21 + 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 671 and 9081 is 1
Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(45,43) = HCF(313,45) = HCF(358,313) = HCF(671,358) = HCF(9081,671) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1098 > 1, we apply the division lemma to 1098 and 1, to get
1098 = 1 x 1098 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1098 is 1
Notice that 1 = HCF(1098,1) .
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 671, 9081, 1098?
Answer: HCF of 671, 9081, 1098 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 671, 9081, 1098 using Euclid's Algorithm?
Answer: For arbitrary numbers 671, 9081, 1098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.