Highest Common Factor of 671, 740, 805, 108 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 671, 740, 805, 108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 671, 740, 805, 108 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, 740, 805, 108 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, 740, 805, 108 is 1.
HCF(671, 740, 805, 108) = 1
HCF of 671, 740, 805, 108 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 671, 740, 805, 108 is 1.
Highest Common Factor of 671,740,805,108 is 1
Step 1: Since 740 > 671, we apply the division lemma to 740 and 671, to get
740 = 671 x 1 + 69
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 69 and 671, to get
671 = 69 x 9 + 50
Step 3: We consider the new divisor 69 and the new remainder 50, and apply the division lemma to get
69 = 50 x 1 + 19
We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get
50 = 19 x 2 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 740 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(69,50) = HCF(671,69) = HCF(740,671) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 805 > 1, we apply the division lemma to 805 and 1, to get
805 = 1 x 805 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 805 is 1
Notice that 1 = HCF(805,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 108 > 1, we apply the division lemma to 108 and 1, to get
108 = 1 x 108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 108 is 1
Notice that 1 = HCF(108,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 671, 740, 805, 108 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 671, 740, 805, 108?
Answer: HCF of 671, 740, 805, 108 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 671, 740, 805, 108 using Euclid's Algorithm?
Answer: For arbitrary numbers 671, 740, 805, 108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.