Highest Common Factor of 4830, 2576, 95092 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 4830, 2576, 95092 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4830, 2576, 95092 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 4830, 2576, 95092 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 4830, 2576, 95092 is 2.
HCF(4830, 2576, 95092) = 2
HCF of 4830, 2576, 95092 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4830, 2576, 95092 is 2.
Highest Common Factor of 4830,2576,95092 is 2
Step 1: Since 4830 > 2576, we apply the division lemma to 4830 and 2576, to get
4830 = 2576 x 1 + 2254
Step 2: Since the reminder 2576 ≠ 0, we apply division lemma to 2254 and 2576, to get
2576 = 2254 x 1 + 322
Step 3: We consider the new divisor 2254 and the new remainder 322, and apply the division lemma to get
2254 = 322 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 322, the HCF of 4830 and 2576 is 322
Notice that 322 = HCF(2254,322) = HCF(2576,2254) = HCF(4830,2576) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95092 > 322, we apply the division lemma to 95092 and 322, to get
95092 = 322 x 295 + 102
Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 102 and 322, to get
322 = 102 x 3 + 16
Step 3: We consider the new divisor 102 and the new remainder 16, and apply the division lemma to get
102 = 16 x 6 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 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 322 and 95092 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(102,16) = HCF(322,102) = HCF(95092,322) .
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Frequently Asked Questions on HCF of 4830, 2576, 95092 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 4830, 2576, 95092?
Answer: HCF of 4830, 2576, 95092 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4830, 2576, 95092 using Euclid's Algorithm?
Answer: For arbitrary numbers 4830, 2576, 95092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.