Highest Common Factor of 853, 616, 651 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 853, 616, 651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 853, 616, 651 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 853, 616, 651 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 853, 616, 651 is 1.
HCF(853, 616, 651) = 1
HCF of 853, 616, 651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 853, 616, 651 is 1.
Highest Common Factor of 853,616,651 is 1
Step 1: Since 853 > 616, we apply the division lemma to 853 and 616, to get
853 = 616 x 1 + 237
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 237 and 616, to get
616 = 237 x 2 + 142
Step 3: We consider the new divisor 237 and the new remainder 142, and apply the division lemma to get
237 = 142 x 1 + 95
We consider the new divisor 142 and the new remainder 95,and apply the division lemma to get
142 = 95 x 1 + 47
We consider the new divisor 95 and the new remainder 47,and apply the division lemma to get
95 = 47 x 2 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 853 and 616 is 1
Notice that 1 = HCF(47,1) = HCF(95,47) = HCF(142,95) = HCF(237,142) = HCF(616,237) = HCF(853,616) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 651 > 1, we apply the division lemma to 651 and 1, to get
651 = 1 x 651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 651 is 1
Notice that 1 = HCF(651,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 853, 616, 651 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 853, 616, 651?
Answer: HCF of 853, 616, 651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 853, 616, 651 using Euclid's Algorithm?
Answer: For arbitrary numbers 853, 616, 651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.