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 3552, 1961, 58280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3552, 1961, 58280 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 3552, 1961, 58280 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 3552, 1961, 58280 is 1.
HCF(3552, 1961, 58280) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3552, 1961, 58280 is 1.
Step 1: Since 3552 > 1961, we apply the division lemma to 3552 and 1961, to get
3552 = 1961 x 1 + 1591
Step 2: Since the reminder 1961 ≠ 0, we apply division lemma to 1591 and 1961, to get
1961 = 1591 x 1 + 370
Step 3: We consider the new divisor 1591 and the new remainder 370, and apply the division lemma to get
1591 = 370 x 4 + 111
We consider the new divisor 370 and the new remainder 111,and apply the division lemma to get
370 = 111 x 3 + 37
We consider the new divisor 111 and the new remainder 37,and apply the division lemma to get
111 = 37 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 3552 and 1961 is 37
Notice that 37 = HCF(111,37) = HCF(370,111) = HCF(1591,370) = HCF(1961,1591) = HCF(3552,1961) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58280 > 37, we apply the division lemma to 58280 and 37, to get
58280 = 37 x 1575 + 5
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 5 and 37, to get
37 = 5 x 7 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 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 37 and 58280 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(58280,37) .
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 3552, 1961, 58280?
Answer: HCF of 3552, 1961, 58280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3552, 1961, 58280 using Euclid's Algorithm?
Answer: For arbitrary numbers 3552, 1961, 58280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.