Highest Common Factor of 8364, 7096 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 8364, 7096 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8364, 7096 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 8364, 7096 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 8364, 7096 is 4.
HCF(8364, 7096) = 4
HCF of 8364, 7096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8364, 7096 is 4.
Highest Common Factor of 8364,7096 is 4
Step 1: Since 8364 > 7096, we apply the division lemma to 8364 and 7096, to get
8364 = 7096 x 1 + 1268
Step 2: Since the reminder 7096 ≠ 0, we apply division lemma to 1268 and 7096, to get
7096 = 1268 x 5 + 756
Step 3: We consider the new divisor 1268 and the new remainder 756, and apply the division lemma to get
1268 = 756 x 1 + 512
We consider the new divisor 756 and the new remainder 512,and apply the division lemma to get
756 = 512 x 1 + 244
We consider the new divisor 512 and the new remainder 244,and apply the division lemma to get
512 = 244 x 2 + 24
We consider the new divisor 244 and the new remainder 24,and apply the division lemma to get
244 = 24 x 10 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8364 and 7096 is 4
Notice that 4 = HCF(24,4) = HCF(244,24) = HCF(512,244) = HCF(756,512) = HCF(1268,756) = HCF(7096,1268) = HCF(8364,7096) .
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Frequently Asked Questions on HCF of 8364, 7096 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 8364, 7096?
Answer: HCF of 8364, 7096 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8364, 7096 using Euclid's Algorithm?
Answer: For arbitrary numbers 8364, 7096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.