Highest Common Factor of 4456, 5696 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 4456, 5696 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4456, 5696 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 4456, 5696 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 4456, 5696 is 8.
HCF(4456, 5696) = 8
HCF of 4456, 5696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4456, 5696 is 8.
Highest Common Factor of 4456,5696 is 8
Step 1: Since 5696 > 4456, we apply the division lemma to 5696 and 4456, to get
5696 = 4456 x 1 + 1240
Step 2: Since the reminder 4456 ≠ 0, we apply division lemma to 1240 and 4456, to get
4456 = 1240 x 3 + 736
Step 3: We consider the new divisor 1240 and the new remainder 736, and apply the division lemma to get
1240 = 736 x 1 + 504
We consider the new divisor 736 and the new remainder 504,and apply the division lemma to get
736 = 504 x 1 + 232
We consider the new divisor 504 and the new remainder 232,and apply the division lemma to get
504 = 232 x 2 + 40
We consider the new divisor 232 and the new remainder 40,and apply the division lemma to get
232 = 40 x 5 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4456 and 5696 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(232,40) = HCF(504,232) = HCF(736,504) = HCF(1240,736) = HCF(4456,1240) = HCF(5696,4456) .
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Frequently Asked Questions on HCF of 4456, 5696 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 4456, 5696?
Answer: HCF of 4456, 5696 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4456, 5696 using Euclid's Algorithm?
Answer: For arbitrary numbers 4456, 5696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.