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 376, 958, 457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 958, 457 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 376, 958, 457 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 376, 958, 457 is 1.
HCF(376, 958, 457) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 376, 958, 457 is 1.
Step 1: Since 958 > 376, we apply the division lemma to 958 and 376, to get
958 = 376 x 2 + 206
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 206 and 376, to get
376 = 206 x 1 + 170
Step 3: We consider the new divisor 206 and the new remainder 170, and apply the division lemma to get
206 = 170 x 1 + 36
We consider the new divisor 170 and the new remainder 36,and apply the division lemma to get
170 = 36 x 4 + 26
We consider the new divisor 36 and the new remainder 26,and apply the division lemma to get
36 = 26 x 1 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 376 and 958 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(36,26) = HCF(170,36) = HCF(206,170) = HCF(376,206) = HCF(958,376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 457 > 2, we apply the division lemma to 457 and 2, to get
457 = 2 x 228 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 457 is 1
Notice that 1 = HCF(2,1) = HCF(457,2) .
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 376, 958, 457?
Answer: HCF of 376, 958, 457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 958, 457 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 958, 457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.