Highest Common Factor of 1112, 7667 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 1112, 7667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1112, 7667 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 1112, 7667 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 1112, 7667 is 1.
HCF(1112, 7667) = 1
HCF of 1112, 7667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1112, 7667 is 1.
Highest Common Factor of 1112,7667 is 1
Step 1: Since 7667 > 1112, we apply the division lemma to 7667 and 1112, to get
7667 = 1112 x 6 + 995
Step 2: Since the reminder 1112 ≠ 0, we apply division lemma to 995 and 1112, to get
1112 = 995 x 1 + 117
Step 3: We consider the new divisor 995 and the new remainder 117, and apply the division lemma to get
995 = 117 x 8 + 59
We consider the new divisor 117 and the new remainder 59,and apply the division lemma to get
117 = 59 x 1 + 58
We consider the new divisor 59 and the new remainder 58,and apply the division lemma to get
59 = 58 x 1 + 1
We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1112 and 7667 is 1
Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(117,59) = HCF(995,117) = HCF(1112,995) = HCF(7667,1112) .
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Frequently Asked Questions on HCF of 1112, 7667 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 1112, 7667?
Answer: HCF of 1112, 7667 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1112, 7667 using Euclid's Algorithm?
Answer: For arbitrary numbers 1112, 7667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.