Highest Common Factor of 1114, 5418 using Euclid's algorithm
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 1114, 5418 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1114, 5418 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 1114, 5418 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 1114, 5418 is 2.
HCF(1114, 5418) = 2
HCF of 1114, 5418 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1114, 5418 is 2.
Highest Common Factor of 1114,5418 is 2
Step 1: Since 5418 > 1114, we apply the division lemma to 5418 and 1114, to get
5418 = 1114 x 4 + 962
Step 2: Since the reminder 1114 ≠ 0, we apply division lemma to 962 and 1114, to get
1114 = 962 x 1 + 152
Step 3: We consider the new divisor 962 and the new remainder 152, and apply the division lemma to get
962 = 152 x 6 + 50
We consider the new divisor 152 and the new remainder 50,and apply the division lemma to get
152 = 50 x 3 + 2
We consider the new divisor 50 and the new remainder 2,and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1114 and 5418 is 2
Notice that 2 = HCF(50,2) = HCF(152,50) = HCF(962,152) = HCF(1114,962) = HCF(5418,1114) .
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Frequently Asked Questions on HCF of 1114, 5418 using Euclid's Algorithm
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 1114, 5418?
Answer: HCF of 1114, 5418 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1114, 5418 using Euclid's Algorithm?
Answer: For arbitrary numbers 1114, 5418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.