Highest Common Factor of 4826, 6778, 94356 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 4826, 6778, 94356 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4826, 6778, 94356 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 4826, 6778, 94356 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 4826, 6778, 94356 is 2.
HCF(4826, 6778, 94356) = 2
HCF of 4826, 6778, 94356 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4826, 6778, 94356 is 2.
Highest Common Factor of 4826,6778,94356 is 2
Step 1: Since 6778 > 4826, we apply the division lemma to 6778 and 4826, to get
6778 = 4826 x 1 + 1952
Step 2: Since the reminder 4826 ≠ 0, we apply division lemma to 1952 and 4826, to get
4826 = 1952 x 2 + 922
Step 3: We consider the new divisor 1952 and the new remainder 922, and apply the division lemma to get
1952 = 922 x 2 + 108
We consider the new divisor 922 and the new remainder 108,and apply the division lemma to get
922 = 108 x 8 + 58
We consider the new divisor 108 and the new remainder 58,and apply the division lemma to get
108 = 58 x 1 + 50
We consider the new divisor 58 and the new remainder 50,and apply the division lemma to get
58 = 50 x 1 + 8
We consider the new divisor 50 and the new remainder 8,and apply the division lemma to get
50 = 8 x 6 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4826 and 6778 is 2
Notice that 2 = HCF(8,2) = HCF(50,8) = HCF(58,50) = HCF(108,58) = HCF(922,108) = HCF(1952,922) = HCF(4826,1952) = HCF(6778,4826) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94356 > 2, we apply the division lemma to 94356 and 2, to get
94356 = 2 x 47178 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94356 is 2
Notice that 2 = HCF(94356,2) .
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Frequently Asked Questions on HCF of 4826, 6778, 94356 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 4826, 6778, 94356?
Answer: HCF of 4826, 6778, 94356 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4826, 6778, 94356 using Euclid's Algorithm?
Answer: For arbitrary numbers 4826, 6778, 94356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.