Highest Common Factor of 1180, 7907 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 1180, 7907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1180, 7907 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 1180, 7907 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 1180, 7907 is 1.
HCF(1180, 7907) = 1
HCF of 1180, 7907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1180, 7907 is 1.
Highest Common Factor of 1180,7907 is 1
Step 1: Since 7907 > 1180, we apply the division lemma to 7907 and 1180, to get
7907 = 1180 x 6 + 827
Step 2: Since the reminder 1180 ≠ 0, we apply division lemma to 827 and 1180, to get
1180 = 827 x 1 + 353
Step 3: We consider the new divisor 827 and the new remainder 353, and apply the division lemma to get
827 = 353 x 2 + 121
We consider the new divisor 353 and the new remainder 121,and apply the division lemma to get
353 = 121 x 2 + 111
We consider the new divisor 121 and the new remainder 111,and apply the division lemma to get
121 = 111 x 1 + 10
We consider the new divisor 111 and the new remainder 10,and apply the division lemma to get
111 = 10 x 11 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1180 and 7907 is 1
Notice that 1 = HCF(10,1) = HCF(111,10) = HCF(121,111) = HCF(353,121) = HCF(827,353) = HCF(1180,827) = HCF(7907,1180) .
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Frequently Asked Questions on HCF of 1180, 7907 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 1180, 7907?
Answer: HCF of 1180, 7907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1180, 7907 using Euclid's Algorithm?
Answer: For arbitrary numbers 1180, 7907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.