Highest Common Factor of 7766, 7096 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 7766, 7096 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7766, 7096 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 7766, 7096 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 7766, 7096 is 2.
HCF(7766, 7096) = 2
HCF of 7766, 7096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7766, 7096 is 2.
Highest Common Factor of 7766,7096 is 2
Step 1: Since 7766 > 7096, we apply the division lemma to 7766 and 7096, to get
7766 = 7096 x 1 + 670
Step 2: Since the reminder 7096 ≠ 0, we apply division lemma to 670 and 7096, to get
7096 = 670 x 10 + 396
Step 3: We consider the new divisor 670 and the new remainder 396, and apply the division lemma to get
670 = 396 x 1 + 274
We consider the new divisor 396 and the new remainder 274,and apply the division lemma to get
396 = 274 x 1 + 122
We consider the new divisor 274 and the new remainder 122,and apply the division lemma to get
274 = 122 x 2 + 30
We consider the new divisor 122 and the new remainder 30,and apply the division lemma to get
122 = 30 x 4 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7766 and 7096 is 2
Notice that 2 = HCF(30,2) = HCF(122,30) = HCF(274,122) = HCF(396,274) = HCF(670,396) = HCF(7096,670) = HCF(7766,7096) .
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Frequently Asked Questions on HCF of 7766, 7096 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 7766, 7096?
Answer: HCF of 7766, 7096 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7766, 7096 using Euclid's Algorithm?
Answer: For arbitrary numbers 7766, 7096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.