Highest Common Factor of 4128, 5656 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 4128, 5656 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4128, 5656 is 8 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 4128, 5656 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 4128, 5656 is 8.
HCF(4128, 5656) = 8
HCF of 4128, 5656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4128, 5656 is 8.
Highest Common Factor of 4128,5656 is 8
Step 1: Since 5656 > 4128, we apply the division lemma to 5656 and 4128, to get
5656 = 4128 x 1 + 1528
Step 2: Since the reminder 4128 ≠ 0, we apply division lemma to 1528 and 4128, to get
4128 = 1528 x 2 + 1072
Step 3: We consider the new divisor 1528 and the new remainder 1072, and apply the division lemma to get
1528 = 1072 x 1 + 456
We consider the new divisor 1072 and the new remainder 456,and apply the division lemma to get
1072 = 456 x 2 + 160
We consider the new divisor 456 and the new remainder 160,and apply the division lemma to get
456 = 160 x 2 + 136
We consider the new divisor 160 and the new remainder 136,and apply the division lemma to get
160 = 136 x 1 + 24
We consider the new divisor 136 and the new remainder 24,and apply the division lemma to get
136 = 24 x 5 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4128 and 5656 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(136,24) = HCF(160,136) = HCF(456,160) = HCF(1072,456) = HCF(1528,1072) = HCF(4128,1528) = HCF(5656,4128) .
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Frequently Asked Questions on HCF of 4128, 5656 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 4128, 5656?
Answer: HCF of 4128, 5656 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4128, 5656 using Euclid's Algorithm?
Answer: For arbitrary numbers 4128, 5656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.