Highest Common Factor of 1491, 2408 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 1491, 2408 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1491, 2408 is 7 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 1491, 2408 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 1491, 2408 is 7.
HCF(1491, 2408) = 7
HCF of 1491, 2408 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1491, 2408 is 7.
Highest Common Factor of 1491,2408 is 7
Step 1: Since 2408 > 1491, we apply the division lemma to 2408 and 1491, to get
2408 = 1491 x 1 + 917
Step 2: Since the reminder 1491 ≠ 0, we apply division lemma to 917 and 1491, to get
1491 = 917 x 1 + 574
Step 3: We consider the new divisor 917 and the new remainder 574, and apply the division lemma to get
917 = 574 x 1 + 343
We consider the new divisor 574 and the new remainder 343,and apply the division lemma to get
574 = 343 x 1 + 231
We consider the new divisor 343 and the new remainder 231,and apply the division lemma to get
343 = 231 x 1 + 112
We consider the new divisor 231 and the new remainder 112,and apply the division lemma to get
231 = 112 x 2 + 7
We consider the new divisor 112 and the new remainder 7,and apply the division lemma to get
112 = 7 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1491 and 2408 is 7
Notice that 7 = HCF(112,7) = HCF(231,112) = HCF(343,231) = HCF(574,343) = HCF(917,574) = HCF(1491,917) = HCF(2408,1491) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1491, 2408 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 1491, 2408?
Answer: HCF of 1491, 2408 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1491, 2408 using Euclid's Algorithm?
Answer: For arbitrary numbers 1491, 2408 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
