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 813, 634, 134 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 813, 634, 134 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 813, 634, 134 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 813, 634, 134 is 1.
HCF(813, 634, 134) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 813, 634, 134 is 1.
Step 1: Since 813 > 634, we apply the division lemma to 813 and 634, to get
813 = 634 x 1 + 179
Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 179 and 634, to get
634 = 179 x 3 + 97
Step 3: We consider the new divisor 179 and the new remainder 97, and apply the division lemma to get
179 = 97 x 1 + 82
We consider the new divisor 97 and the new remainder 82,and apply the division lemma to get
97 = 82 x 1 + 15
We consider the new divisor 82 and the new remainder 15,and apply the division lemma to get
82 = 15 x 5 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 813 and 634 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(82,15) = HCF(97,82) = HCF(179,97) = HCF(634,179) = HCF(813,634) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 134 > 1, we apply the division lemma to 134 and 1, to get
134 = 1 x 134 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 134 is 1
Notice that 1 = HCF(134,1) .
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 813, 634, 134?
Answer: HCF of 813, 634, 134 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 813, 634, 134 using Euclid's Algorithm?
Answer: For arbitrary numbers 813, 634, 134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.