Highest Common Factor of 2956, 7790 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 2956, 7790 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2956, 7790 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 2956, 7790 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 2956, 7790 is 2.
HCF(2956, 7790) = 2
HCF of 2956, 7790 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2956, 7790 is 2.
Highest Common Factor of 2956,7790 is 2
Step 1: Since 7790 > 2956, we apply the division lemma to 7790 and 2956, to get
7790 = 2956 x 2 + 1878
Step 2: Since the reminder 2956 ≠ 0, we apply division lemma to 1878 and 2956, to get
2956 = 1878 x 1 + 1078
Step 3: We consider the new divisor 1878 and the new remainder 1078, and apply the division lemma to get
1878 = 1078 x 1 + 800
We consider the new divisor 1078 and the new remainder 800,and apply the division lemma to get
1078 = 800 x 1 + 278
We consider the new divisor 800 and the new remainder 278,and apply the division lemma to get
800 = 278 x 2 + 244
We consider the new divisor 278 and the new remainder 244,and apply the division lemma to get
278 = 244 x 1 + 34
We consider the new divisor 244 and the new remainder 34,and apply the division lemma to get
244 = 34 x 7 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 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 2956 and 7790 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(244,34) = HCF(278,244) = HCF(800,278) = HCF(1078,800) = HCF(1878,1078) = HCF(2956,1878) = HCF(7790,2956) .
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Frequently Asked Questions on HCF of 2956, 7790 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 2956, 7790?
Answer: HCF of 2956, 7790 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2956, 7790 using Euclid's Algorithm?
Answer: For arbitrary numbers 2956, 7790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.