Highest Common Factor of 2240, 1558 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 2240, 1558 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2240, 1558 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 2240, 1558 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 2240, 1558 is 2.
HCF(2240, 1558) = 2
HCF of 2240, 1558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2240, 1558 is 2.
Highest Common Factor of 2240,1558 is 2
Step 1: Since 2240 > 1558, we apply the division lemma to 2240 and 1558, to get
2240 = 1558 x 1 + 682
Step 2: Since the reminder 1558 ≠ 0, we apply division lemma to 682 and 1558, to get
1558 = 682 x 2 + 194
Step 3: We consider the new divisor 682 and the new remainder 194, and apply the division lemma to get
682 = 194 x 3 + 100
We consider the new divisor 194 and the new remainder 100,and apply the division lemma to get
194 = 100 x 1 + 94
We consider the new divisor 100 and the new remainder 94,and apply the division lemma to get
100 = 94 x 1 + 6
We consider the new divisor 94 and the new remainder 6,and apply the division lemma to get
94 = 6 x 15 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 2240 and 1558 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(94,6) = HCF(100,94) = HCF(194,100) = HCF(682,194) = HCF(1558,682) = HCF(2240,1558) .
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Frequently Asked Questions on HCF of 2240, 1558 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 2240, 1558?
Answer: HCF of 2240, 1558 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2240, 1558 using Euclid's Algorithm?
Answer: For arbitrary numbers 2240, 1558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.