Highest Common Factor of 7556, 4118 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 7556, 4118 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7556, 4118 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 7556, 4118 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 7556, 4118 is 2.
HCF(7556, 4118) = 2
HCF of 7556, 4118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7556, 4118 is 2.
Highest Common Factor of 7556,4118 is 2
Step 1: Since 7556 > 4118, we apply the division lemma to 7556 and 4118, to get
7556 = 4118 x 1 + 3438
Step 2: Since the reminder 4118 ≠ 0, we apply division lemma to 3438 and 4118, to get
4118 = 3438 x 1 + 680
Step 3: We consider the new divisor 3438 and the new remainder 680, and apply the division lemma to get
3438 = 680 x 5 + 38
We consider the new divisor 680 and the new remainder 38,and apply the division lemma to get
680 = 38 x 17 + 34
We consider the new divisor 38 and the new remainder 34,and apply the division lemma to get
38 = 34 x 1 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7556 and 4118 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(38,34) = HCF(680,38) = HCF(3438,680) = HCF(4118,3438) = HCF(7556,4118) .
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Frequently Asked Questions on HCF of 7556, 4118 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 7556, 4118?
Answer: HCF of 7556, 4118 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7556, 4118 using Euclid's Algorithm?
Answer: For arbitrary numbers 7556, 4118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.