Highest Common Factor of 2920, 1234 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 2920, 1234 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2920, 1234 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 2920, 1234 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 2920, 1234 is 2.
HCF(2920, 1234) = 2
HCF of 2920, 1234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2920, 1234 is 2.
Highest Common Factor of 2920,1234 is 2
Step 1: Since 2920 > 1234, we apply the division lemma to 2920 and 1234, to get
2920 = 1234 x 2 + 452
Step 2: Since the reminder 1234 ≠ 0, we apply division lemma to 452 and 1234, to get
1234 = 452 x 2 + 330
Step 3: We consider the new divisor 452 and the new remainder 330, and apply the division lemma to get
452 = 330 x 1 + 122
We consider the new divisor 330 and the new remainder 122,and apply the division lemma to get
330 = 122 x 2 + 86
We consider the new divisor 122 and the new remainder 86,and apply the division lemma to get
122 = 86 x 1 + 36
We consider the new divisor 86 and the new remainder 36,and apply the division lemma to get
86 = 36 x 2 + 14
We consider the new divisor 36 and the new remainder 14,and apply the division lemma to get
36 = 14 x 2 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2920 and 1234 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(36,14) = HCF(86,36) = HCF(122,86) = HCF(330,122) = HCF(452,330) = HCF(1234,452) = HCF(2920,1234) .
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Frequently Asked Questions on HCF of 2920, 1234 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 2920, 1234?
Answer: HCF of 2920, 1234 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2920, 1234 using Euclid's Algorithm?
Answer: For arbitrary numbers 2920, 1234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
