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 958, 739, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 958, 739, 481 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 958, 739, 481 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 958, 739, 481 is 1.
HCF(958, 739, 481) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 958, 739, 481 is 1.
Step 1: Since 958 > 739, we apply the division lemma to 958 and 739, to get
958 = 739 x 1 + 219
Step 2: Since the reminder 739 ≠ 0, we apply division lemma to 219 and 739, to get
739 = 219 x 3 + 82
Step 3: We consider the new divisor 219 and the new remainder 82, and apply the division lemma to get
219 = 82 x 2 + 55
We consider the new divisor 82 and the new remainder 55,and apply the division lemma to get
82 = 55 x 1 + 27
We consider the new divisor 55 and the new remainder 27,and apply the division lemma to get
55 = 27 x 2 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 958 and 739 is 1
Notice that 1 = HCF(27,1) = HCF(55,27) = HCF(82,55) = HCF(219,82) = HCF(739,219) = HCF(958,739) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 481 > 1, we apply the division lemma to 481 and 1, to get
481 = 1 x 481 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 481 is 1
Notice that 1 = HCF(481,1) .
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 958, 739, 481?
Answer: HCF of 958, 739, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 958, 739, 481 using Euclid's Algorithm?
Answer: For arbitrary numbers 958, 739, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.