Highest Common Factor of 7778, 4478 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 7778, 4478 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7778, 4478 is 2 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 7778, 4478 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 7778, 4478 is 2.
HCF(7778, 4478) = 2
HCF of 7778, 4478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7778, 4478 is 2.
Highest Common Factor of 7778,4478 is 2
Step 1: Since 7778 > 4478, we apply the division lemma to 7778 and 4478, to get
7778 = 4478 x 1 + 3300
Step 2: Since the reminder 4478 ≠ 0, we apply division lemma to 3300 and 4478, to get
4478 = 3300 x 1 + 1178
Step 3: We consider the new divisor 3300 and the new remainder 1178, and apply the division lemma to get
3300 = 1178 x 2 + 944
We consider the new divisor 1178 and the new remainder 944,and apply the division lemma to get
1178 = 944 x 1 + 234
We consider the new divisor 944 and the new remainder 234,and apply the division lemma to get
944 = 234 x 4 + 8
We consider the new divisor 234 and the new remainder 8,and apply the division lemma to get
234 = 8 x 29 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7778 and 4478 is 2
Notice that 2 = HCF(8,2) = HCF(234,8) = HCF(944,234) = HCF(1178,944) = HCF(3300,1178) = HCF(4478,3300) = HCF(7778,4478) .
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Frequently Asked Questions on HCF of 7778, 4478 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 7778, 4478?
Answer: HCF of 7778, 4478 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7778, 4478 using Euclid's Algorithm?
Answer: For arbitrary numbers 7778, 4478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.