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 5260, 1636 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5260, 1636 is 4 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 5260, 1636 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 5260, 1636 is 4.
HCF(5260, 1636) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5260, 1636 is 4.
Step 1: Since 5260 > 1636, we apply the division lemma to 5260 and 1636, to get
5260 = 1636 x 3 + 352
Step 2: Since the reminder 1636 ≠ 0, we apply division lemma to 352 and 1636, to get
1636 = 352 x 4 + 228
Step 3: We consider the new divisor 352 and the new remainder 228, and apply the division lemma to get
352 = 228 x 1 + 124
We consider the new divisor 228 and the new remainder 124,and apply the division lemma to get
228 = 124 x 1 + 104
We consider the new divisor 124 and the new remainder 104,and apply the division lemma to get
124 = 104 x 1 + 20
We consider the new divisor 104 and the new remainder 20,and apply the division lemma to get
104 = 20 x 5 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5260 and 1636 is 4
Notice that 4 = HCF(20,4) = HCF(104,20) = HCF(124,104) = HCF(228,124) = HCF(352,228) = HCF(1636,352) = HCF(5260,1636) .
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 5260, 1636?
Answer: HCF of 5260, 1636 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5260, 1636 using Euclid's Algorithm?
Answer: For arbitrary numbers 5260, 1636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.