Highest Common Factor of 7526, 8156, 39350 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 7526, 8156, 39350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7526, 8156, 39350 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 7526, 8156, 39350 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 7526, 8156, 39350 is 2.
HCF(7526, 8156, 39350) = 2
HCF of 7526, 8156, 39350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7526, 8156, 39350 is 2.
Highest Common Factor of 7526,8156,39350 is 2
Step 1: Since 8156 > 7526, we apply the division lemma to 8156 and 7526, to get
8156 = 7526 x 1 + 630
Step 2: Since the reminder 7526 ≠ 0, we apply division lemma to 630 and 7526, to get
7526 = 630 x 11 + 596
Step 3: We consider the new divisor 630 and the new remainder 596, and apply the division lemma to get
630 = 596 x 1 + 34
We consider the new divisor 596 and the new remainder 34,and apply the division lemma to get
596 = 34 x 17 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7526 and 8156 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(596,34) = HCF(630,596) = HCF(7526,630) = HCF(8156,7526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39350 > 2, we apply the division lemma to 39350 and 2, to get
39350 = 2 x 19675 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 39350 is 2
Notice that 2 = HCF(39350,2) .
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Frequently Asked Questions on HCF of 7526, 8156, 39350 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 7526, 8156, 39350?
Answer: HCF of 7526, 8156, 39350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7526, 8156, 39350 using Euclid's Algorithm?
Answer: For arbitrary numbers 7526, 8156, 39350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.