Highest Common Factor of 894, 520, 980 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 894, 520, 980 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 894, 520, 980 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 894, 520, 980 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 894, 520, 980 is 2.
HCF(894, 520, 980) = 2
HCF of 894, 520, 980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 894, 520, 980 is 2.
Highest Common Factor of 894,520,980 is 2
Step 1: Since 894 > 520, we apply the division lemma to 894 and 520, to get
894 = 520 x 1 + 374
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 374 and 520, to get
520 = 374 x 1 + 146
Step 3: We consider the new divisor 374 and the new remainder 146, and apply the division lemma to get
374 = 146 x 2 + 82
We consider the new divisor 146 and the new remainder 82,and apply the division lemma to get
146 = 82 x 1 + 64
We consider the new divisor 82 and the new remainder 64,and apply the division lemma to get
82 = 64 x 1 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 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 894 and 520 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(82,64) = HCF(146,82) = HCF(374,146) = HCF(520,374) = HCF(894,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 980 > 2, we apply the division lemma to 980 and 2, to get
980 = 2 x 490 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 980 is 2
Notice that 2 = HCF(980,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 894, 520, 980 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 894, 520, 980?
Answer: HCF of 894, 520, 980 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 894, 520, 980 using Euclid's Algorithm?
Answer: For arbitrary numbers 894, 520, 980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.