Highest Common Factor of 9076, 7196 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 9076, 7196 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9076, 7196 is 4 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 9076, 7196 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 9076, 7196 is 4.
HCF(9076, 7196) = 4
HCF of 9076, 7196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9076, 7196 is 4.
Highest Common Factor of 9076,7196 is 4
Step 1: Since 9076 > 7196, we apply the division lemma to 9076 and 7196, to get
9076 = 7196 x 1 + 1880
Step 2: Since the reminder 7196 ≠ 0, we apply division lemma to 1880 and 7196, to get
7196 = 1880 x 3 + 1556
Step 3: We consider the new divisor 1880 and the new remainder 1556, and apply the division lemma to get
1880 = 1556 x 1 + 324
We consider the new divisor 1556 and the new remainder 324,and apply the division lemma to get
1556 = 324 x 4 + 260
We consider the new divisor 324 and the new remainder 260,and apply the division lemma to get
324 = 260 x 1 + 64
We consider the new divisor 260 and the new remainder 64,and apply the division lemma to get
260 = 64 x 4 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9076 and 7196 is 4
Notice that 4 = HCF(64,4) = HCF(260,64) = HCF(324,260) = HCF(1556,324) = HCF(1880,1556) = HCF(7196,1880) = HCF(9076,7196) .
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Frequently Asked Questions on HCF of 9076, 7196 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 9076, 7196?
Answer: HCF of 9076, 7196 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9076, 7196 using Euclid's Algorithm?
Answer: For arbitrary numbers 9076, 7196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.