Highest Common Factor of 980, 4138 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 980, 4138 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 4138 is 2 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 980, 4138 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 980, 4138 is 2.
HCF(980, 4138) = 2
HCF of 980, 4138 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 4138 is 2.
Highest Common Factor of 980,4138 is 2
Step 1: Since 4138 > 980, we apply the division lemma to 4138 and 980, to get
4138 = 980 x 4 + 218
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 218 and 980, to get
980 = 218 x 4 + 108
Step 3: We consider the new divisor 218 and the new remainder 108, and apply the division lemma to get
218 = 108 x 2 + 2
We consider the new divisor 108 and the new remainder 2, and apply the division lemma to get
108 = 2 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 980 and 4138 is 2
Notice that 2 = HCF(108,2) = HCF(218,108) = HCF(980,218) = HCF(4138,980) .
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Frequently Asked Questions on HCF of 980, 4138 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 980, 4138?
Answer: HCF of 980, 4138 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 4138 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 4138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.