Highest Common Factor of 7748, 9544 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 7748, 9544 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7748, 9544 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 7748, 9544 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 7748, 9544 is 4.
HCF(7748, 9544) = 4
HCF of 7748, 9544 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7748, 9544 is 4.
Highest Common Factor of 7748,9544 is 4
Step 1: Since 9544 > 7748, we apply the division lemma to 9544 and 7748, to get
9544 = 7748 x 1 + 1796
Step 2: Since the reminder 7748 ≠ 0, we apply division lemma to 1796 and 7748, to get
7748 = 1796 x 4 + 564
Step 3: We consider the new divisor 1796 and the new remainder 564, and apply the division lemma to get
1796 = 564 x 3 + 104
We consider the new divisor 564 and the new remainder 104,and apply the division lemma to get
564 = 104 x 5 + 44
We consider the new divisor 104 and the new remainder 44,and apply the division lemma to get
104 = 44 x 2 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7748 and 9544 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(104,44) = HCF(564,104) = HCF(1796,564) = HCF(7748,1796) = HCF(9544,7748) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7748, 9544 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 7748, 9544?
Answer: HCF of 7748, 9544 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7748, 9544 using Euclid's Algorithm?
Answer: For arbitrary numbers 7748, 9544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.