Highest Common Factor of 1130, 6705 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 1130, 6705 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1130, 6705 is 5 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 1130, 6705 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 1130, 6705 is 5.
HCF(1130, 6705) = 5
HCF of 1130, 6705 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1130, 6705 is 5.
Highest Common Factor of 1130,6705 is 5
Step 1: Since 6705 > 1130, we apply the division lemma to 6705 and 1130, to get
6705 = 1130 x 5 + 1055
Step 2: Since the reminder 1130 ≠ 0, we apply division lemma to 1055 and 1130, to get
1130 = 1055 x 1 + 75
Step 3: We consider the new divisor 1055 and the new remainder 75, and apply the division lemma to get
1055 = 75 x 14 + 5
We consider the new divisor 75 and the new remainder 5, and apply the division lemma to get
75 = 5 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1130 and 6705 is 5
Notice that 5 = HCF(75,5) = HCF(1055,75) = HCF(1130,1055) = HCF(6705,1130) .
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Frequently Asked Questions on HCF of 1130, 6705 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 1130, 6705?
Answer: HCF of 1130, 6705 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1130, 6705 using Euclid's Algorithm?
Answer: For arbitrary numbers 1130, 6705 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.