Highest Common Factor of 1110, 6710 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 1110, 6710 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 1110, 6710 is 10 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 1110, 6710 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 1110, 6710 is 10.
HCF(1110, 6710) = 10
HCF of 1110, 6710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1110, 6710 is 10.
Highest Common Factor of 1110,6710 is 10
Step 1: Since 6710 > 1110, we apply the division lemma to 6710 and 1110, to get
6710 = 1110 x 6 + 50
Step 2: Since the reminder 1110 ≠ 0, we apply division lemma to 50 and 1110, to get
1110 = 50 x 22 + 10
Step 3: We consider the new divisor 50 and the new remainder 10, and apply the division lemma to get
50 = 10 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 1110 and 6710 is 10
Notice that 10 = HCF(50,10) = HCF(1110,50) = HCF(6710,1110) .
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Frequently Asked Questions on HCF of 1110, 6710 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 1110, 6710?
Answer: HCF of 1110, 6710 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1110, 6710 using Euclid's Algorithm?
Answer: For arbitrary numbers 1110, 6710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.