Highest Common Factor of 5270, 1896 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 5270, 1896 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5270, 1896 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 5270, 1896 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 5270, 1896 is 2.
HCF(5270, 1896) = 2
HCF of 5270, 1896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5270, 1896 is 2.
Highest Common Factor of 5270,1896 is 2
Step 1: Since 5270 > 1896, we apply the division lemma to 5270 and 1896, to get
5270 = 1896 x 2 + 1478
Step 2: Since the reminder 1896 ≠ 0, we apply division lemma to 1478 and 1896, to get
1896 = 1478 x 1 + 418
Step 3: We consider the new divisor 1478 and the new remainder 418, and apply the division lemma to get
1478 = 418 x 3 + 224
We consider the new divisor 418 and the new remainder 224,and apply the division lemma to get
418 = 224 x 1 + 194
We consider the new divisor 224 and the new remainder 194,and apply the division lemma to get
224 = 194 x 1 + 30
We consider the new divisor 194 and the new remainder 30,and apply the division lemma to get
194 = 30 x 6 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5270 and 1896 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(194,30) = HCF(224,194) = HCF(418,224) = HCF(1478,418) = HCF(1896,1478) = HCF(5270,1896) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5270, 1896 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 5270, 1896?
Answer: HCF of 5270, 1896 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5270, 1896 using Euclid's Algorithm?
Answer: For arbitrary numbers 5270, 1896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
