Highest Common Factor of 1027, 7055 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 1027, 7055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1027, 7055 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 1027, 7055 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 1027, 7055 is 1.
HCF(1027, 7055) = 1
HCF of 1027, 7055 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1027, 7055 is 1.
Highest Common Factor of 1027,7055 is 1
Step 1: Since 7055 > 1027, we apply the division lemma to 7055 and 1027, to get
7055 = 1027 x 6 + 893
Step 2: Since the reminder 1027 ≠ 0, we apply division lemma to 893 and 1027, to get
1027 = 893 x 1 + 134
Step 3: We consider the new divisor 893 and the new remainder 134, and apply the division lemma to get
893 = 134 x 6 + 89
We consider the new divisor 134 and the new remainder 89,and apply the division lemma to get
134 = 89 x 1 + 45
We consider the new divisor 89 and the new remainder 45,and apply the division lemma to get
89 = 45 x 1 + 44
We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get
45 = 44 x 1 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1027 and 7055 is 1
Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(89,45) = HCF(134,89) = HCF(893,134) = HCF(1027,893) = HCF(7055,1027) .
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Frequently Asked Questions on HCF of 1027, 7055 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 1027, 7055?
Answer: HCF of 1027, 7055 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1027, 7055 using Euclid's Algorithm?
Answer: For arbitrary numbers 1027, 7055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
