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 5164, 1377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5164, 1377 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 5164, 1377 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 5164, 1377 is 1.
HCF(5164, 1377) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5164, 1377 is 1.
Step 1: Since 5164 > 1377, we apply the division lemma to 5164 and 1377, to get
5164 = 1377 x 3 + 1033
Step 2: Since the reminder 1377 ≠ 0, we apply division lemma to 1033 and 1377, to get
1377 = 1033 x 1 + 344
Step 3: We consider the new divisor 1033 and the new remainder 344, and apply the division lemma to get
1033 = 344 x 3 + 1
We consider the new divisor 344 and the new remainder 1, and apply the division lemma to get
344 = 1 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5164 and 1377 is 1
Notice that 1 = HCF(344,1) = HCF(1033,344) = HCF(1377,1033) = HCF(5164,1377) .
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 5164, 1377?
Answer: HCF of 5164, 1377 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5164, 1377 using Euclid's Algorithm?
Answer: For arbitrary numbers 5164, 1377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.