Highest Common Factor of 3910, 4160 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 3910, 4160 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 3910, 4160 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 3910, 4160 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 3910, 4160 is 10.
HCF(3910, 4160) = 10
HCF of 3910, 4160 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3910, 4160 is 10.
Highest Common Factor of 3910,4160 is 10
Step 1: Since 4160 > 3910, we apply the division lemma to 4160 and 3910, to get
4160 = 3910 x 1 + 250
Step 2: Since the reminder 3910 ≠ 0, we apply division lemma to 250 and 3910, to get
3910 = 250 x 15 + 160
Step 3: We consider the new divisor 250 and the new remainder 160, and apply the division lemma to get
250 = 160 x 1 + 90
We consider the new divisor 160 and the new remainder 90,and apply the division lemma to get
160 = 90 x 1 + 70
We consider the new divisor 90 and the new remainder 70,and apply the division lemma to get
90 = 70 x 1 + 20
We consider the new divisor 70 and the new remainder 20,and apply the division lemma to get
70 = 20 x 3 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 3910 and 4160 is 10
Notice that 10 = HCF(20,10) = HCF(70,20) = HCF(90,70) = HCF(160,90) = HCF(250,160) = HCF(3910,250) = HCF(4160,3910) .
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Frequently Asked Questions on HCF of 3910, 4160 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 3910, 4160?
Answer: HCF of 3910, 4160 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3910, 4160 using Euclid's Algorithm?
Answer: For arbitrary numbers 3910, 4160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.