Highest Common Factor of 7640, 564 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 7640, 564 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7640, 564 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 7640, 564 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 7640, 564 is 4.
HCF(7640, 564) = 4
HCF of 7640, 564 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7640, 564 is 4.
Highest Common Factor of 7640,564 is 4
Step 1: Since 7640 > 564, we apply the division lemma to 7640 and 564, to get
7640 = 564 x 13 + 308
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 308 and 564, to get
564 = 308 x 1 + 256
Step 3: We consider the new divisor 308 and the new remainder 256, and apply the division lemma to get
308 = 256 x 1 + 52
We consider the new divisor 256 and the new remainder 52,and apply the division lemma to get
256 = 52 x 4 + 48
We consider the new divisor 52 and the new remainder 48,and apply the division lemma to get
52 = 48 x 1 + 4
We consider the new divisor 48 and the new remainder 4,and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7640 and 564 is 4
Notice that 4 = HCF(48,4) = HCF(52,48) = HCF(256,52) = HCF(308,256) = HCF(564,308) = HCF(7640,564) .
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Frequently Asked Questions on HCF of 7640, 564 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 7640, 564?
Answer: HCF of 7640, 564 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7640, 564 using Euclid's Algorithm?
Answer: For arbitrary numbers 7640, 564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.