Highest Common Factor of 5446, 7961 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 5446, 7961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5446, 7961 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 5446, 7961 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 5446, 7961 is 1.
HCF(5446, 7961) = 1
HCF of 5446, 7961 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5446, 7961 is 1.
Highest Common Factor of 5446,7961 is 1
Step 1: Since 7961 > 5446, we apply the division lemma to 7961 and 5446, to get
7961 = 5446 x 1 + 2515
Step 2: Since the reminder 5446 ≠ 0, we apply division lemma to 2515 and 5446, to get
5446 = 2515 x 2 + 416
Step 3: We consider the new divisor 2515 and the new remainder 416, and apply the division lemma to get
2515 = 416 x 6 + 19
We consider the new divisor 416 and the new remainder 19,and apply the division lemma to get
416 = 19 x 21 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5446 and 7961 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(416,19) = HCF(2515,416) = HCF(5446,2515) = HCF(7961,5446) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5446, 7961 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 5446, 7961?
Answer: HCF of 5446, 7961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5446, 7961 using Euclid's Algorithm?
Answer: For arbitrary numbers 5446, 7961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.