Highest Common Factor of 4137, 8078 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 4137, 8078 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4137, 8078 is 7 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 4137, 8078 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 4137, 8078 is 7.
HCF(4137, 8078) = 7
HCF of 4137, 8078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4137, 8078 is 7.
Highest Common Factor of 4137,8078 is 7
Step 1: Since 8078 > 4137, we apply the division lemma to 8078 and 4137, to get
8078 = 4137 x 1 + 3941
Step 2: Since the reminder 4137 ≠ 0, we apply division lemma to 3941 and 4137, to get
4137 = 3941 x 1 + 196
Step 3: We consider the new divisor 3941 and the new remainder 196, and apply the division lemma to get
3941 = 196 x 20 + 21
We consider the new divisor 196 and the new remainder 21,and apply the division lemma to get
196 = 21 x 9 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4137 and 8078 is 7
Notice that 7 = HCF(21,7) = HCF(196,21) = HCF(3941,196) = HCF(4137,3941) = HCF(8078,4137) .
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Frequently Asked Questions on HCF of 4137, 8078 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 4137, 8078?
Answer: HCF of 4137, 8078 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4137, 8078 using Euclid's Algorithm?
Answer: For arbitrary numbers 4137, 8078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
