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 4561, 4160, 70740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4561, 4160, 70740 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 4561, 4160, 70740 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 4561, 4160, 70740 is 1.
HCF(4561, 4160, 70740) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4561, 4160, 70740 is 1.
Step 1: Since 4561 > 4160, we apply the division lemma to 4561 and 4160, to get
4561 = 4160 x 1 + 401
Step 2: Since the reminder 4160 ≠ 0, we apply division lemma to 401 and 4160, to get
4160 = 401 x 10 + 150
Step 3: We consider the new divisor 401 and the new remainder 150, and apply the division lemma to get
401 = 150 x 2 + 101
We consider the new divisor 150 and the new remainder 101,and apply the division lemma to get
150 = 101 x 1 + 49
We consider the new divisor 101 and the new remainder 49,and apply the division lemma to get
101 = 49 x 2 + 3
We consider the new divisor 49 and the new remainder 3,and apply the division lemma to get
49 = 3 x 16 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4561 and 4160 is 1
Notice that 1 = HCF(3,1) = HCF(49,3) = HCF(101,49) = HCF(150,101) = HCF(401,150) = HCF(4160,401) = HCF(4561,4160) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70740 > 1, we apply the division lemma to 70740 and 1, to get
70740 = 1 x 70740 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70740 is 1
Notice that 1 = HCF(70740,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4561, 4160, 70740?
Answer: HCF of 4561, 4160, 70740 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4561, 4160, 70740 using Euclid's Algorithm?
Answer: For arbitrary numbers 4561, 4160, 70740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.