Highest Common Factor of 238, 876, 360, 46 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 238, 876, 360, 46 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 238, 876, 360, 46 is 2 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 238, 876, 360, 46 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 238, 876, 360, 46 is 2.
HCF(238, 876, 360, 46) = 2
HCF of 238, 876, 360, 46 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 238, 876, 360, 46 is 2.
Highest Common Factor of 238,876,360,46 is 2
Step 1: Since 876 > 238, we apply the division lemma to 876 and 238, to get
876 = 238 x 3 + 162
Step 2: Since the reminder 238 ≠ 0, we apply division lemma to 162 and 238, to get
238 = 162 x 1 + 76
Step 3: We consider the new divisor 162 and the new remainder 76, and apply the division lemma to get
162 = 76 x 2 + 10
We consider the new divisor 76 and the new remainder 10,and apply the division lemma to get
76 = 10 x 7 + 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 238 and 876 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(76,10) = HCF(162,76) = HCF(238,162) = HCF(876,238) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 2, we apply the division lemma to 360 and 2, to get
360 = 2 x 180 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 360 is 2
Notice that 2 = HCF(360,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 2, we apply the division lemma to 46 and 2, to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 46 is 2
Notice that 2 = HCF(46,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 238, 876, 360, 46 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 238, 876, 360, 46?
Answer: HCF of 238, 876, 360, 46 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 238, 876, 360, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 238, 876, 360, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.