Highest Common Factor of 7726, 2907 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 7726, 2907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7726, 2907 is 1 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 7726, 2907 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 7726, 2907 is 1.
HCF(7726, 2907) = 1
HCF of 7726, 2907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7726, 2907 is 1.
Highest Common Factor of 7726,2907 is 1
Step 1: Since 7726 > 2907, we apply the division lemma to 7726 and 2907, to get
7726 = 2907 x 2 + 1912
Step 2: Since the reminder 2907 ≠ 0, we apply division lemma to 1912 and 2907, to get
2907 = 1912 x 1 + 995
Step 3: We consider the new divisor 1912 and the new remainder 995, and apply the division lemma to get
1912 = 995 x 1 + 917
We consider the new divisor 995 and the new remainder 917,and apply the division lemma to get
995 = 917 x 1 + 78
We consider the new divisor 917 and the new remainder 78,and apply the division lemma to get
917 = 78 x 11 + 59
We consider the new divisor 78 and the new remainder 59,and apply the division lemma to get
78 = 59 x 1 + 19
We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get
59 = 19 x 3 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7726 and 2907 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(78,59) = HCF(917,78) = HCF(995,917) = HCF(1912,995) = HCF(2907,1912) = HCF(7726,2907) .
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Frequently Asked Questions on HCF of 7726, 2907 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 7726, 2907?
Answer: HCF of 7726, 2907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7726, 2907 using Euclid's Algorithm?
Answer: For arbitrary numbers 7726, 2907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.