Highest Common Factor of 9564, 7318 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 9564, 7318 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9564, 7318 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 9564, 7318 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 9564, 7318 is 2.
HCF(9564, 7318) = 2
HCF of 9564, 7318 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9564, 7318 is 2.
Highest Common Factor of 9564,7318 is 2
Step 1: Since 9564 > 7318, we apply the division lemma to 9564 and 7318, to get
9564 = 7318 x 1 + 2246
Step 2: Since the reminder 7318 ≠ 0, we apply division lemma to 2246 and 7318, to get
7318 = 2246 x 3 + 580
Step 3: We consider the new divisor 2246 and the new remainder 580, and apply the division lemma to get
2246 = 580 x 3 + 506
We consider the new divisor 580 and the new remainder 506,and apply the division lemma to get
580 = 506 x 1 + 74
We consider the new divisor 506 and the new remainder 74,and apply the division lemma to get
506 = 74 x 6 + 62
We consider the new divisor 74 and the new remainder 62,and apply the division lemma to get
74 = 62 x 1 + 12
We consider the new divisor 62 and the new remainder 12,and apply the division lemma to get
62 = 12 x 5 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9564 and 7318 is 2
Notice that 2 = HCF(12,2) = HCF(62,12) = HCF(74,62) = HCF(506,74) = HCF(580,506) = HCF(2246,580) = HCF(7318,2246) = HCF(9564,7318) .
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Frequently Asked Questions on HCF of 9564, 7318 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 9564, 7318?
Answer: HCF of 9564, 7318 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9564, 7318 using Euclid's Algorithm?
Answer: For arbitrary numbers 9564, 7318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.