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 7224, 4936 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7224, 4936 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 7224, 4936 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 7224, 4936 is 8.
HCF(7224, 4936) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7224, 4936 is 8.
Step 1: Since 7224 > 4936, we apply the division lemma to 7224 and 4936, to get
7224 = 4936 x 1 + 2288
Step 2: Since the reminder 4936 ≠ 0, we apply division lemma to 2288 and 4936, to get
4936 = 2288 x 2 + 360
Step 3: We consider the new divisor 2288 and the new remainder 360, and apply the division lemma to get
2288 = 360 x 6 + 128
We consider the new divisor 360 and the new remainder 128,and apply the division lemma to get
360 = 128 x 2 + 104
We consider the new divisor 128 and the new remainder 104,and apply the division lemma to get
128 = 104 x 1 + 24
We consider the new divisor 104 and the new remainder 24,and apply the division lemma to get
104 = 24 x 4 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7224 and 4936 is 8
Notice that 8 = HCF(24,8) = HCF(104,24) = HCF(128,104) = HCF(360,128) = HCF(2288,360) = HCF(4936,2288) = HCF(7224,4936) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7224, 4936?
Answer: HCF of 7224, 4936 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7224, 4936 using Euclid's Algorithm?
Answer: For arbitrary numbers 7224, 4936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.