Highest Common Factor of 2120, 4334, 68798 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 2120, 4334, 68798 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2120, 4334, 68798 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 2120, 4334, 68798 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 2120, 4334, 68798 is 2.
HCF(2120, 4334, 68798) = 2
HCF of 2120, 4334, 68798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2120, 4334, 68798 is 2.
Highest Common Factor of 2120,4334,68798 is 2
Step 1: Since 4334 > 2120, we apply the division lemma to 4334 and 2120, to get
4334 = 2120 x 2 + 94
Step 2: Since the reminder 2120 ≠ 0, we apply division lemma to 94 and 2120, to get
2120 = 94 x 22 + 52
Step 3: We consider the new divisor 94 and the new remainder 52, and apply the division lemma to get
94 = 52 x 1 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2120 and 4334 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(94,52) = HCF(2120,94) = HCF(4334,2120) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68798 > 2, we apply the division lemma to 68798 and 2, to get
68798 = 2 x 34399 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 68798 is 2
Notice that 2 = HCF(68798,2) .
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Frequently Asked Questions on HCF of 2120, 4334, 68798 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 2120, 4334, 68798?
Answer: HCF of 2120, 4334, 68798 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2120, 4334, 68798 using Euclid's Algorithm?
Answer: For arbitrary numbers 2120, 4334, 68798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
