Highest Common Factor of 898, 488 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 898, 488 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 898, 488 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 898, 488 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 898, 488 is 2.
HCF(898, 488) = 2
HCF of 898, 488 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 898, 488 is 2.
Highest Common Factor of 898,488 is 2
Step 1: Since 898 > 488, we apply the division lemma to 898 and 488, to get
898 = 488 x 1 + 410
Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 410 and 488, to get
488 = 410 x 1 + 78
Step 3: We consider the new divisor 410 and the new remainder 78, and apply the division lemma to get
410 = 78 x 5 + 20
We consider the new divisor 78 and the new remainder 20,and apply the division lemma to get
78 = 20 x 3 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 898 and 488 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(78,20) = HCF(410,78) = HCF(488,410) = HCF(898,488) .
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Frequently Asked Questions on HCF of 898, 488 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 898, 488?
Answer: HCF of 898, 488 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 898, 488 using Euclid's Algorithm?
Answer: For arbitrary numbers 898, 488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.