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 5976, 5116 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5976, 5116 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 5976, 5116 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 5976, 5116 is 4.
HCF(5976, 5116) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5976, 5116 is 4.
Step 1: Since 5976 > 5116, we apply the division lemma to 5976 and 5116, to get
5976 = 5116 x 1 + 860
Step 2: Since the reminder 5116 ≠ 0, we apply division lemma to 860 and 5116, to get
5116 = 860 x 5 + 816
Step 3: We consider the new divisor 860 and the new remainder 816, and apply the division lemma to get
860 = 816 x 1 + 44
We consider the new divisor 816 and the new remainder 44,and apply the division lemma to get
816 = 44 x 18 + 24
We consider the new divisor 44 and the new remainder 24,and apply the division lemma to get
44 = 24 x 1 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 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 5976 and 5116 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(44,24) = HCF(816,44) = HCF(860,816) = HCF(5116,860) = HCF(5976,5116) .
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 5976, 5116?
Answer: HCF of 5976, 5116 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5976, 5116 using Euclid's Algorithm?
Answer: For arbitrary numbers 5976, 5116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.