Highest Common Factor of 7668, 4952 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 7668, 4952 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7668, 4952 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 7668, 4952 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 7668, 4952 is 4.
HCF(7668, 4952) = 4
HCF of 7668, 4952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7668, 4952 is 4.
Highest Common Factor of 7668,4952 is 4
Step 1: Since 7668 > 4952, we apply the division lemma to 7668 and 4952, to get
7668 = 4952 x 1 + 2716
Step 2: Since the reminder 4952 ≠ 0, we apply division lemma to 2716 and 4952, to get
4952 = 2716 x 1 + 2236
Step 3: We consider the new divisor 2716 and the new remainder 2236, and apply the division lemma to get
2716 = 2236 x 1 + 480
We consider the new divisor 2236 and the new remainder 480,and apply the division lemma to get
2236 = 480 x 4 + 316
We consider the new divisor 480 and the new remainder 316,and apply the division lemma to get
480 = 316 x 1 + 164
We consider the new divisor 316 and the new remainder 164,and apply the division lemma to get
316 = 164 x 1 + 152
We consider the new divisor 164 and the new remainder 152,and apply the division lemma to get
164 = 152 x 1 + 12
We consider the new divisor 152 and the new remainder 12,and apply the division lemma to get
152 = 12 x 12 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7668 and 4952 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(152,12) = HCF(164,152) = HCF(316,164) = HCF(480,316) = HCF(2236,480) = HCF(2716,2236) = HCF(4952,2716) = HCF(7668,4952) .
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Frequently Asked Questions on HCF of 7668, 4952 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 7668, 4952?
Answer: HCF of 7668, 4952 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7668, 4952 using Euclid's Algorithm?
Answer: For arbitrary numbers 7668, 4952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
