Highest Common Factor of 890, 336, 852 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 890, 336, 852 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 890, 336, 852 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 890, 336, 852 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 890, 336, 852 is 2.
HCF(890, 336, 852) = 2
HCF of 890, 336, 852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 890, 336, 852 is 2.
Highest Common Factor of 890,336,852 is 2
Step 1: Since 890 > 336, we apply the division lemma to 890 and 336, to get
890 = 336 x 2 + 218
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 218 and 336, to get
336 = 218 x 1 + 118
Step 3: We consider the new divisor 218 and the new remainder 118, and apply the division lemma to get
218 = 118 x 1 + 100
We consider the new divisor 118 and the new remainder 100,and apply the division lemma to get
118 = 100 x 1 + 18
We consider the new divisor 100 and the new remainder 18,and apply the division lemma to get
100 = 18 x 5 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 890 and 336 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(100,18) = HCF(118,100) = HCF(218,118) = HCF(336,218) = HCF(890,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 852 > 2, we apply the division lemma to 852 and 2, to get
852 = 2 x 426 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 852 is 2
Notice that 2 = HCF(852,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 890, 336, 852 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 890, 336, 852?
Answer: HCF of 890, 336, 852 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 890, 336, 852 using Euclid's Algorithm?
Answer: For arbitrary numbers 890, 336, 852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.