Highest Common Factor of 6910, 6054, 76098 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 6910, 6054, 76098 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6910, 6054, 76098 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 6910, 6054, 76098 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 6910, 6054, 76098 is 2.
HCF(6910, 6054, 76098) = 2
HCF of 6910, 6054, 76098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6910, 6054, 76098 is 2.
Highest Common Factor of 6910,6054,76098 is 2
Step 1: Since 6910 > 6054, we apply the division lemma to 6910 and 6054, to get
6910 = 6054 x 1 + 856
Step 2: Since the reminder 6054 ≠ 0, we apply division lemma to 856 and 6054, to get
6054 = 856 x 7 + 62
Step 3: We consider the new divisor 856 and the new remainder 62, and apply the division lemma to get
856 = 62 x 13 + 50
We consider the new divisor 62 and the new remainder 50,and apply the division lemma to get
62 = 50 x 1 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6910 and 6054 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(62,50) = HCF(856,62) = HCF(6054,856) = HCF(6910,6054) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76098 > 2, we apply the division lemma to 76098 and 2, to get
76098 = 2 x 38049 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 76098 is 2
Notice that 2 = HCF(76098,2) .
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Frequently Asked Questions on HCF of 6910, 6054, 76098 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 6910, 6054, 76098?
Answer: HCF of 6910, 6054, 76098 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6910, 6054, 76098 using Euclid's Algorithm?
Answer: For arbitrary numbers 6910, 6054, 76098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.