Highest Common Factor of 4970, 1013 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 4970, 1013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4970, 1013 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 4970, 1013 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 4970, 1013 is 1.
HCF(4970, 1013) = 1
HCF of 4970, 1013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4970, 1013 is 1.
Highest Common Factor of 4970,1013 is 1
Step 1: Since 4970 > 1013, we apply the division lemma to 4970 and 1013, to get
4970 = 1013 x 4 + 918
Step 2: Since the reminder 1013 ≠ 0, we apply division lemma to 918 and 1013, to get
1013 = 918 x 1 + 95
Step 3: We consider the new divisor 918 and the new remainder 95, and apply the division lemma to get
918 = 95 x 9 + 63
We consider the new divisor 95 and the new remainder 63,and apply the division lemma to get
95 = 63 x 1 + 32
We consider the new divisor 63 and the new remainder 32,and apply the division lemma to get
63 = 32 x 1 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4970 and 1013 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(63,32) = HCF(95,63) = HCF(918,95) = HCF(1013,918) = HCF(4970,1013) .
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Frequently Asked Questions on HCF of 4970, 1013 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 4970, 1013?
Answer: HCF of 4970, 1013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4970, 1013 using Euclid's Algorithm?
Answer: For arbitrary numbers 4970, 1013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.