Highest Common Factor of 210, 914, 792, 53 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 210, 914, 792, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 210, 914, 792, 53 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 210, 914, 792, 53 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 210, 914, 792, 53 is 1.
HCF(210, 914, 792, 53) = 1
HCF of 210, 914, 792, 53 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 210, 914, 792, 53 is 1.
Highest Common Factor of 210,914,792,53 is 1
Step 1: Since 914 > 210, we apply the division lemma to 914 and 210, to get
914 = 210 x 4 + 74
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 74 and 210, to get
210 = 74 x 2 + 62
Step 3: We consider the new divisor 74 and the new remainder 62, and apply the division lemma to get
74 = 62 x 1 + 12
We consider the new divisor 62 and the new remainder 12,and apply the division lemma to get
62 = 12 x 5 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 210 and 914 is 2
Notice that 2 = HCF(12,2) = HCF(62,12) = HCF(74,62) = HCF(210,74) = HCF(914,210) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 792 > 2, we apply the division lemma to 792 and 2, to get
792 = 2 x 396 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 792 is 2
Notice that 2 = HCF(792,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53 > 2, we apply the division lemma to 53 and 2, to get
53 = 2 x 26 + 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 53 is 1
Notice that 1 = HCF(2,1) = HCF(53,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 210, 914, 792, 53 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 210, 914, 792, 53?
Answer: HCF of 210, 914, 792, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 210, 914, 792, 53 using Euclid's Algorithm?
Answer: For arbitrary numbers 210, 914, 792, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
