Highest Common Factor of 1598, 8240 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 1598, 8240 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1598, 8240 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 1598, 8240 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 1598, 8240 is 2.
HCF(1598, 8240) = 2
HCF of 1598, 8240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1598, 8240 is 2.
Highest Common Factor of 1598,8240 is 2
Step 1: Since 8240 > 1598, we apply the division lemma to 8240 and 1598, to get
8240 = 1598 x 5 + 250
Step 2: Since the reminder 1598 ≠ 0, we apply division lemma to 250 and 1598, to get
1598 = 250 x 6 + 98
Step 3: We consider the new divisor 250 and the new remainder 98, and apply the division lemma to get
250 = 98 x 2 + 54
We consider the new divisor 98 and the new remainder 54,and apply the division lemma to get
98 = 54 x 1 + 44
We consider the new divisor 54 and the new remainder 44,and apply the division lemma to get
54 = 44 x 1 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1598 and 8240 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(54,44) = HCF(98,54) = HCF(250,98) = HCF(1598,250) = HCF(8240,1598) .
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Frequently Asked Questions on HCF of 1598, 8240 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 1598, 8240?
Answer: HCF of 1598, 8240 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1598, 8240 using Euclid's Algorithm?
Answer: For arbitrary numbers 1598, 8240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.