Highest Common Factor of 2837, 7424 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 2837, 7424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2837, 7424 is 1 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 2837, 7424 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 2837, 7424 is 1.
HCF(2837, 7424) = 1
HCF of 2837, 7424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2837, 7424 is 1.
Highest Common Factor of 2837,7424 is 1
Step 1: Since 7424 > 2837, we apply the division lemma to 7424 and 2837, to get
7424 = 2837 x 2 + 1750
Step 2: Since the reminder 2837 ≠ 0, we apply division lemma to 1750 and 2837, to get
2837 = 1750 x 1 + 1087
Step 3: We consider the new divisor 1750 and the new remainder 1087, and apply the division lemma to get
1750 = 1087 x 1 + 663
We consider the new divisor 1087 and the new remainder 663,and apply the division lemma to get
1087 = 663 x 1 + 424
We consider the new divisor 663 and the new remainder 424,and apply the division lemma to get
663 = 424 x 1 + 239
We consider the new divisor 424 and the new remainder 239,and apply the division lemma to get
424 = 239 x 1 + 185
We consider the new divisor 239 and the new remainder 185,and apply the division lemma to get
239 = 185 x 1 + 54
We consider the new divisor 185 and the new remainder 54,and apply the division lemma to get
185 = 54 x 3 + 23
We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get
54 = 23 x 2 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2837 and 7424 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(185,54) = HCF(239,185) = HCF(424,239) = HCF(663,424) = HCF(1087,663) = HCF(1750,1087) = HCF(2837,1750) = HCF(7424,2837) .
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Frequently Asked Questions on HCF of 2837, 7424 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 2837, 7424?
Answer: HCF of 2837, 7424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2837, 7424 using Euclid's Algorithm?
Answer: For arbitrary numbers 2837, 7424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
