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 5402, 5316 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5402, 5316 is 2 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 5402, 5316 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 5402, 5316 is 2.
HCF(5402, 5316) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5402, 5316 is 2.
Step 1: Since 5402 > 5316, we apply the division lemma to 5402 and 5316, to get
5402 = 5316 x 1 + 86
Step 2: Since the reminder 5316 ≠ 0, we apply division lemma to 86 and 5316, to get
5316 = 86 x 61 + 70
Step 3: We consider the new divisor 86 and the new remainder 70, and apply the division lemma to get
86 = 70 x 1 + 16
We consider the new divisor 70 and the new remainder 16,and apply the division lemma to get
70 = 16 x 4 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5402 and 5316 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(70,16) = HCF(86,70) = HCF(5316,86) = HCF(5402,5316) .
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 5402, 5316?
Answer: HCF of 5402, 5316 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5402, 5316 using Euclid's Algorithm?
Answer: For arbitrary numbers 5402, 5316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.