Highest Common Factor of 4938, 7079 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 4938, 7079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4938, 7079 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 4938, 7079 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 4938, 7079 is 1.
HCF(4938, 7079) = 1
HCF of 4938, 7079 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4938, 7079 is 1.
Highest Common Factor of 4938,7079 is 1
Step 1: Since 7079 > 4938, we apply the division lemma to 7079 and 4938, to get
7079 = 4938 x 1 + 2141
Step 2: Since the reminder 4938 ≠ 0, we apply division lemma to 2141 and 4938, to get
4938 = 2141 x 2 + 656
Step 3: We consider the new divisor 2141 and the new remainder 656, and apply the division lemma to get
2141 = 656 x 3 + 173
We consider the new divisor 656 and the new remainder 173,and apply the division lemma to get
656 = 173 x 3 + 137
We consider the new divisor 173 and the new remainder 137,and apply the division lemma to get
173 = 137 x 1 + 36
We consider the new divisor 137 and the new remainder 36,and apply the division lemma to get
137 = 36 x 3 + 29
We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get
36 = 29 x 1 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4938 and 7079 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(137,36) = HCF(173,137) = HCF(656,173) = HCF(2141,656) = HCF(4938,2141) = HCF(7079,4938) .
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Frequently Asked Questions on HCF of 4938, 7079 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 4938, 7079?
Answer: HCF of 4938, 7079 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4938, 7079 using Euclid's Algorithm?
Answer: For arbitrary numbers 4938, 7079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.